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x*exp(-x)sqrt(x-x^2)*cos^3(3*x)+arcsin(ln(x))*exp^tg(5*x)
Derivada de la función/ x*exp(-x)sqrt(x-x^2)*cos^3(3*x)+arcsin(ln(x))*exp^tg(5*x)

Derivada de x*exp(-x)sqrt(x-x^2)*cos^3(3*x)+arcsin(ln(x))*exp^tg(5*x)

Función f() - derivada -er orden en el punto
v

Gráfico:

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Solución

Ha introducido [src] 
         ________                                   
   -x   /      2     3                      tan(5*x)
x*e  *\/  x - x  *cos (3*x) + asin(log(x))*E
etan⁡(5x)asin⁡(log⁡(x))+xe−x−x2+xcos⁡3(3x)e^{\tan{\left(5 x \right)}} \operatorname{asin}{\left(\log{\left(x \right)} \right)} + x e^{- x} \sqrt{- x^{2} + x} \cos^{3}{\left(3 x \right)} 
((x*exp(-x))*sqrt(x - x^2))*cos(3*x)^3 + asin(log(x))*E^tan(5*x)
Gráfica
02468-8-6-4-2-1010-100005000
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
          /   ________                                -x\        tan(5*x)                                                          ________                       
   3      |  /      2  /     -x    -x\   x*(1/2 - x)*e  |       e                /         2     \               tan(5*x)         /      2     2       -x         
cos (3*x)*|\/  x - x  *\- x*e   + e  / + ---------------| + ------------------ + \5 + 5*tan (5*x)/*asin(log(x))*e         - 9*x*\/  x - x  *cos (3*x)*e  *sin(3*x)
          |                                   ________  |        _____________                                                                                    
          |                                  /      2   |       /        2                                                                                        
          \                                \/  x - x    /   x*\/  1 - log (x)
−9x−x2+xe−xsin⁡(3x)cos⁡2(3x)+(x(12−x)e−x−x2+x+−x2+x(−xe−x+e−x))cos⁡3(3x)+(5tan⁡2(5x)+5)etan⁡(5x)asin⁡(log⁡(x))+etan⁡(5x)x1−log⁡(x)2- 9 x \sqrt{- x^{2} + x} e^{- x} \sin{\left(3 x \right)} \cos^{2}{\left(3 x \right)} + \left(\frac{x \left(\frac{1}{2} - x\right) e^{- x}}{\sqrt{- x^{2} + x}} + \sqrt{- x^{2} + x} \left(- x e^{- x} + e^{- x}\right)\right) \cos^{3}{\left(3 x \right)} + \left(5 \tan^{2}{\left(5 x \right)} + 5\right) e^{\tan{\left(5 x \right)}} \operatorname{asin}{\left(\log{\left(x \right)} \right)} + \frac{e^{\tan{\left(5 x \right)}}}{x \sqrt{1 - \log{\left(x \right)}^{2}}}
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Segunda derivada [src] 
                                                                               /                                                                         2                                          \                                                                                                                                                                                                                                                                                                                                                                                               
                                                                        3      |      ___________             2*(-1 + 2*x)        4*x        x*(-1 + 2*x)     2*x*(-1 + 2*x)   2*(-1 + x)*(-1 + 2*x)|  -x                                                                                                                                                                                              2      /    ___________             x*(-1 + 2*x)\  -x                                                                                                                                        
                                                                     cos (3*x)*|- 4*\/ x*(1 - x) *(-2 + x) + ------------- + ------------- + -------------- - -------------- - ---------------------|*e                                                                                                                                                                                           9*cos (3*x)*|2*\/ x*(1 - x) *(-1 + x) + -------------|*e  *sin(3*x)                                                                                                                               
        tan(5*x)                          2                                    |                               ___________     ___________              3/2     ___________          ___________    |          tan(5*x)                                                                                          /       2     \  tan(5*x)                                                                    |                             ___________|                                                                                                              2                  -x         
       e                   /       2     \                tan(5*x)             \                             \/ x*(1 - x)    \/ x*(1 - x)    (x*(1 - x))      \/ x*(1 - x)         \/ x*(1 - x)     /         e        *log(x)           ___________    3       -x       ___________    2       -x            10*\1 + tan (5*x)/*e              /       2     \               tan(5*x)                        \                           \/ x*(1 - x) /                      ___________    2       -x                   ___________    2                -x   9*x*cos (3*x)*(-1 + 2*x)*e  *sin(3*x)
- ------------------- + 25*\1 + tan (5*x)/ *asin(log(x))*e         - ------------------------------------------------------------------------------------------------------------------------------------ + ------------------- - 27*x*\/ x*(1 - x) *cos (3*x)*e   - 9*\/ x*(1 - x) *cos (3*x)*e  *sin(3*x) + ---------------------------- + 50*\1 + tan (5*x)/*asin(log(x))*e        *tan(5*x) + ------------------------------------------------------------------- + 9*x*\/ x*(1 - x) *cos (3*x)*e  *sin(3*x) + 54*x*\/ x*(1 - x) *sin (3*x)*cos(3*x)*e   + -------------------------------------
        _____________                                                                                                                 4                                                                                     3/2                                                                                         _____________                                                                                              2                                                                                                                                          ___________           
   2   /        2                                                                                                                                                                                            2 /       2   \                                                                                           /        2                                                                                                                                                                                                                                         2*\/ x*(1 - x)            
  x *\/  1 - log (x)                                                                                                                                                                                        x *\1 - log (x)/                                                                                       x*\/  1 - log (x)
54xx(1−x)e−xsin⁡2(3x)cos⁡(3x)+9xx(1−x)e−xsin⁡(3x)cos⁡2(3x)−27xx(1−x)e−xcos⁡3(3x)+9x(2x−1)e−xsin⁡(3x)cos⁡2(3x)2x(1−x)−9x(1−x)e−xsin⁡(3x)cos⁡2(3x)+9(x(2x−1)x(1−x)+2x(1−x)(x−1))e−xsin⁡(3x)cos⁡2(3x)2+25(tan⁡2(5x)+1)2etan⁡(5x)asin⁡(log⁡(x))+50(tan⁡2(5x)+1)etan⁡(5x)tan⁡(5x)asin⁡(log⁡(x))−(−2x(2x−1)x(1−x)+4xx(1−x)+x(2x−1)2(x(1−x))32−4x(1−x)(x−2)−2(x−1)(2x−1)x(1−x)+2(2x−1)x(1−x))e−xcos⁡3(3x)4+10(tan⁡2(5x)+1)etan⁡(5x)x1−log⁡(x)2−etan⁡(5x)x21−log⁡(x)2+etan⁡(5x)log⁡(x)x2(1−log⁡(x)2)3254 x \sqrt{x \left(1 - x\right)} e^{- x} \sin^{2}{\left(3 x \right)} \cos{\left(3 x \right)} + 9 x \sqrt{x \left(1 - x\right)} e^{- x} \sin{\left(3 x \right)} \cos^{2}{\left(3 x \right)} - 27 x \sqrt{x \left(1 - x\right)} e^{- x} \cos^{3}{\left(3 x \right)} + \frac{9 x \left(2 x - 1\right) e^{- x} \sin{\left(3 x \right)} \cos^{2}{\left(3 x \right)}}{2 \sqrt{x \left(1 - x\right)}} - 9 \sqrt{x \left(1 - x\right)} e^{- x} \sin{\left(3 x \right)} \cos^{2}{\left(3 x \right)} + \frac{9 \left(\frac{x \left(2 x - 1\right)}{\sqrt{x \left(1 - x\right)}} + 2 \sqrt{x \left(1 - x\right)} \left(x - 1\right)\right) e^{- x} \sin{\left(3 x \right)} \cos^{2}{\left(3 x \right)}}{2} + 25 \left(\tan^{2}{\left(5 x \right)} + 1\right)^{2} e^{\tan{\left(5 x \right)}} \operatorname{asin}{\left(\log{\left(x \right)} \right)} + 50 \left(\tan^{2}{\left(5 x \right)} + 1\right) e^{\tan{\left(5 x \right)}} \tan{\left(5 x \right)} \operatorname{asin}{\left(\log{\left(x \right)} \right)} - \frac{\left(- \frac{2 x \left(2 x - 1\right)}{\sqrt{x \left(1 - x\right)}} + \frac{4 x}{\sqrt{x \left(1 - x\right)}} + \frac{x \left(2 x - 1\right)^{2}}{\left(x \left(1 - x\right)\right)^{\frac{3}{2}}} - 4 \sqrt{x \left(1 - x\right)} \left(x - 2\right) - \frac{2 \left(x - 1\right) \left(2 x - 1\right)}{\sqrt{x \left(1 - x\right)}} + \frac{2 \left(2 x - 1\right)}{\sqrt{x \left(1 - x\right)}}\right) e^{- x} \cos^{3}{\left(3 x \right)}}{4} + \frac{10 \left(\tan^{2}{\left(5 x \right)} + 1\right) e^{\tan{\left(5 x \right)}}}{x \sqrt{1 - \log{\left(x \right)}^{2}}} - \frac{e^{\tan{\left(5 x \right)}}}{x^{2} \sqrt{1 - \log{\left(x \right)}^{2}}} + \frac{e^{\tan{\left(5 x \right)}} \log{\left(x \right)}}{x^{2} \left(1 - \log{\left(x \right)}^{2}\right)^{\frac{3}{2}}}
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Tercera derivada [src] 
                                                                                                                                                                                   /                                                                            2                                             2               2                          3                                                           \                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             /                                                                         2                                          \                                                                                                                                                                                                                                                                                                                                                                                                                   
                                                                                                                                                                            3      |      16             16*x         8*(-1 + x)     8*(-1 + 2*x)   4*(-1 + 2*x)         ___________            4*x*(-1 + 2*x)    2*(-1 + 2*x) *(-1 + x)   3*x*(-1 + 2*x)    4*x*(-1 + 2*x)   8*(-1 + 2*x)*(-2 + x)   12*x*(-1 + 2*x)|  -x         3      /    ___________             x*(-1 + 2*x)\  -x                                                                                                                                                                                                                                                                                                                                                                                                                                                                    2      |      ___________             2*(-1 + 2*x)        4*x        x*(-1 + 2*x)     2*x*(-1 + 2*x)   2*(-1 + x)*(-1 + 2*x)|  -x                                                                                                                                                                                                                                                                                                                                                                                                               
                                                                                                                                                                         cos (3*x)*|------------- - ------------- - ------------- - ------------- + -------------- + 8*\/ x*(1 - x) *(-3 + x) - --------------- - ---------------------- + --------------- + -------------- + --------------------- + ---------------|*e     27*cos (3*x)*|2*\/ x*(1 - x) *(-1 + x) + -------------|*e                                                                                                                                                                                                                                                                                          2                                                                                                                                                                      9*cos (3*x)*|- 4*\/ x*(1 - x) *(-2 + x) + ------------- + ------------- + -------------- - -------------- - ---------------------|*e  *sin(3*x)                                                                                                                                                                                                                                                                                                                                                                                                      
      tan(5*x)                                                tan(5*x)                          3                                             2                                    |  ___________     ___________     ___________     ___________              3/2                                          3/2                  3/2                   5/2     ___________          ___________                   3/2|                    |                             ___________|                                                                                                                     /       2     \  tan(5*x)       tan(5*x)               2     tan(5*x)                                                                                   /       2     \   tan(5*x)                                                                                                                        2                                               |                               ___________     ___________              3/2     ___________          ___________    |                                                                    2       -x                 2                  -x               /       2     \  tan(5*x)                  3                  -x       /       2     \  tan(5*x)                                                                 2                           -x          2                  -x                          2    2       -x         
     e                     ___________    3       -x       2*e                   /       2     \                tan(5*x)       /       2     \                tan(5*x)             \\/ x*(1 - x)    \/ x*(1 - x)    \/ x*(1 - x)    \/ x*(1 - x)    (x*(1 - x))                                  (x*(1 - x))          (x*(1 - x))           (x*(1 - x))      \/ x*(1 - x)         \/ x*(1 - x)         (x*(1 - x))   /                    \                           \/ x*(1 - x) /               ___________    3       -x         2      /    ___________             x*(-1 + 2*x)\           -x   15*\1 + tan (5*x)/*e            3*e        *log(x)   3*log (x)*e                ___________    2       -x                   ___________    3       -x   75*\1 + tan (5*x)/ *e                 ___________    2                -x          2      /       2     \               tan(5*x)       /       2     \                tan(5*x)                        \                             \/ x*(1 - x)    \/ x*(1 - x)    (x*(1 - x))      \/ x*(1 - x)         \/ x*(1 - x)     /                        ___________    2                -x   9*x*cos (3*x)*e  *sin(3*x)   9*cos (3*x)*(-1 + 2*x)*e  *sin(3*x)   15*\1 + tan (5*x)/*e        *log(x)   27*x*cos (3*x)*(-1 + 2*x)*e     150*\1 + tan (5*x)/*e        *tan(5*x)           ___________    2       -x            54*x*sin (3*x)*(-1 + 2*x)*cos(3*x)*e     9*x*cos (3*x)*(-1 + 2*x)*e  *sin(3*x)   9*x*(-1 + 2*x) *cos (3*x)*e  *sin(3*x)
------------------- - 54*\/ x*(1 - x) *cos (3*x)*e   + ------------------- + 125*\1 + tan (5*x)/ *asin(log(x))*e         + 250*\1 + tan (5*x)/ *asin(log(x))*e         - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------- - 162*x*\/ x*(1 - x) *sin (3*x)*e   - 27*sin (3*x)*|2*\/ x*(1 - x) *(-1 + x) + -------------|*cos(3*x)*e   - ---------------------------- - ------------------- + ------------------- + 18*\/ x*(1 - x) *cos (3*x)*e  *sin(3*x) + 54*x*\/ x*(1 - x) *cos (3*x)*e   + ----------------------------- + 108*\/ x*(1 - x) *sin (3*x)*cos(3*x)*e   + 500*tan (5*x)*\1 + tan (5*x)/*asin(log(x))*e         + 750*\1 + tan (5*x)/ *asin(log(x))*e        *tan(5*x) + ----------------------------------------------------------------------------------------------------------------------------------------------- - 108*x*\/ x*(1 - x) *sin (3*x)*cos(3*x)*e   + -------------------------- + ----------------------------------- + ----------------------------------- + ----------------------------- + -------------------------------------- + 558*x*\/ x*(1 - x) *cos (3*x)*e  *sin(3*x) - -------------------------------------- - ------------------------------------- + --------------------------------------
                3/2                                          _____________                                                                                                                                                                                                                       8                                                                                                                                                        2                                                                                 |                             ___________|                          _____________                        3/2                   5/2                                                                                           _____________                                                                                                                                                                                                                                        2                                                                                                                               ___________                       ___________                                      3/2                     ___________                          _____________                                                                        ___________                              ___________                                       3/2           
 3 /       2   \                                        3   /        2                                                                                                                                                                                                                                                                                                                                                                                                                                                                      \                           \/ x*(1 - x) /                     2   /        2             3 /       2   \       3 /       2   \                                                                                             /        2                                                                                                                                                                                                                                                                                                                                                                          \/ x*(1 - x)                      \/ x*(1 - x)                        2 /       2   \                      \/ x*(1 - x)                          /        2                                                                          \/ x*(1 - x)                             \/ x*(1 - x)                           4*(x*(1 - x))              
x *\1 - log (x)/                                       x *\/  1 - log (x)                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 x *\/  1 - log (x)         x *\1 - log (x)/      x *\1 - log (x)/                                                                                         x*\/  1 - log (x)                                                                                                                                                                                                                                                                                                                                                                                                                                            x *\1 - log (x)/                                                        x*\/  1 - log (x)
−162xx(1−x)e−xsin⁡3(3x)−108xx(1−x)e−xsin⁡2(3x)cos⁡(3x)+558xx(1−x)e−xsin⁡(3x)cos⁡2(3x)+54xx(1−x)e−xcos⁡3(3x)−54x(2x−1)e−xsin⁡2(3x)cos⁡(3x)x(1−x)−9x(2x−1)e−xsin⁡(3x)cos⁡2(3x)x(1−x)+27x(2x−1)e−xcos⁡3(3x)x(1−x)+9xe−xsin⁡(3x)cos⁡2(3x)x(1−x)+9x(2x−1)2e−xsin⁡(3x)cos⁡2(3x)4(x(1−x))32+108x(1−x)e−xsin⁡2(3x)cos⁡(3x)+18x(1−x)e−xsin⁡(3x)cos⁡2(3x)−54x(1−x)e−xcos⁡3(3x)−27(x(2x−1)x(1−x)+2x(1−x)(x−1))e−xsin⁡2(3x)cos⁡(3x)+27(x(2x−1)x(1−x)+2x(1−x)(x−1))e−xcos⁡3(3x)2+125(tan⁡2(5x)+1)3etan⁡(5x)asin⁡(log⁡(x))+750(tan⁡2(5x)+1)2etan⁡(5x)tan⁡(5x)asin⁡(log⁡(x))+250(tan⁡2(5x)+1)2etan⁡(5x)asin⁡(log⁡(x))+500(tan⁡2(5x)+1)etan⁡(5x)tan⁡2(5x)asin⁡(log⁡(x))+9(−2x(2x−1)x(1−x)+4xx(1−x)+x(2x−1)2(x(1−x))32−4x(1−x)(x−2)−2(x−1)(2x−1)x(1−x)+2(2x−1)x(1−x))e−xsin⁡(3x)cos⁡2(3x)2−(4x(2x−1)x(1−x)−16xx(1−x)−4x(2x−1)2(x(1−x))32+12x(2x−1)(x(1−x))32+3x(2x−1)3(x(1−x))52+8x(1−x)(x−3)+8(x−2)(2x−1)x(1−x)−8(x−1)x(1−x)−8(2x−1)x(1−x)+16x(1−x)−2(x−1)(2x−1)2(x(1−x))32+4(2x−1)2(x(1−x))32)e−xcos⁡3(3x)8+9(2x−1)e−xsin⁡(3x)cos⁡2(3x)x(1−x)+75(tan⁡2(5x)+1)2etan⁡(5x)x1−log⁡(x)2+150(tan⁡2(5x)+1)etan⁡(5x)tan⁡(5x)x1−log⁡(x)2−15(tan⁡2(5x)+1)etan⁡(5x)x21−log⁡(x)2+15(tan⁡2(5x)+1)etan⁡(5x)log⁡(x)x2(1−log⁡(x)2)32+2etan⁡(5x)x31−log⁡(x)2−3etan⁡(5x)log⁡(x)x3(1−log⁡(x)2)32+etan⁡(5x)x3(1−log⁡(x)2)32+3etan⁡(5x)log⁡(x)2x3(1−log⁡(x)2)52- 162 x \sqrt{x \left(1 - x\right)} e^{- x} \sin^{3}{\left(3 x \right)} - 108 x \sqrt{x \left(1 - x\right)} e^{- x} \sin^{2}{\left(3 x \right)} \cos{\left(3 x \right)} + 558 x \sqrt{x \left(1 - x\right)} e^{- x} \sin{\left(3 x \right)} \cos^{2}{\left(3 x \right)} + 54 x \sqrt{x \left(1 - x\right)} e^{- x} \cos^{3}{\left(3 x \right)} - \frac{54 x \left(2 x - 1\right) e^{- x} \sin^{2}{\left(3 x \right)} \cos{\left(3 x \right)}}{\sqrt{x \left(1 - x\right)}} - \frac{9 x \left(2 x - 1\right) e^{- x} \sin{\left(3 x \right)} \cos^{2}{\left(3 x \right)}}{\sqrt{x \left(1 - x\right)}} + \frac{27 x \left(2 x - 1\right) e^{- x} \cos^{3}{\left(3 x \right)}}{\sqrt{x \left(1 - x\right)}} + \frac{9 x e^{- x} \sin{\left(3 x \right)} \cos^{2}{\left(3 x \right)}}{\sqrt{x \left(1 - x\right)}} + \frac{9 x \left(2 x - 1\right)^{2} e^{- x} \sin{\left(3 x \right)} \cos^{2}{\left(3 x \right)}}{4 \left(x \left(1 - x\right)\right)^{\frac{3}{2}}} + 108 \sqrt{x \left(1 - x\right)} e^{- x} \sin^{2}{\left(3 x \right)} \cos{\left(3 x \right)} + 18 \sqrt{x \left(1 - x\right)} e^{- x} \sin{\left(3 x \right)} \cos^{2}{\left(3 x \right)} - 54 \sqrt{x \left(1 - x\right)} e^{- x} \cos^{3}{\left(3 x \right)} - 27 \left(\frac{x \left(2 x - 1\right)}{\sqrt{x \left(1 - x\right)}} + 2 \sqrt{x \left(1 - x\right)} \left(x - 1\right)\right) e^{- x} \sin^{2}{\left(3 x \right)} \cos{\left(3 x \right)} + \frac{27 \left(\frac{x \left(2 x - 1\right)}{\sqrt{x \left(1 - x\right)}} + 2 \sqrt{x \left(1 - x\right)} \left(x - 1\right)\right) e^{- x} \cos^{3}{\left(3 x \right)}}{2} + 125 \left(\tan^{2}{\left(5 x \right)} + 1\right)^{3} e^{\tan{\left(5 x \right)}} \operatorname{asin}{\left(\log{\left(x \right)} \right)} + 750 \left(\tan^{2}{\left(5 x \right)} + 1\right)^{2} e^{\tan{\left(5 x \right)}} \tan{\left(5 x \right)} \operatorname{asin}{\left(\log{\left(x \right)} \right)} + 250 \left(\tan^{2}{\left(5 x \right)} + 1\right)^{2} e^{\tan{\left(5 x \right)}} \operatorname{asin}{\left(\log{\left(x \right)} \right)} + 500 \left(\tan^{2}{\left(5 x \right)} + 1\right) e^{\tan{\left(5 x \right)}} \tan^{2}{\left(5 x \right)} \operatorname{asin}{\left(\log{\left(x \right)} \right)} + \frac{9 \left(- \frac{2 x \left(2 x - 1\right)}{\sqrt{x \left(1 - x\right)}} + \frac{4 x}{\sqrt{x \left(1 - x\right)}} + \frac{x \left(2 x - 1\right)^{2}}{\left(x \left(1 - x\right)\right)^{\frac{3}{2}}} - 4 \sqrt{x \left(1 - x\right)} \left(x - 2\right) - \frac{2 \left(x - 1\right) \left(2 x - 1\right)}{\sqrt{x \left(1 - x\right)}} + \frac{2 \left(2 x - 1\right)}{\sqrt{x \left(1 - x\right)}}\right) e^{- x} \sin{\left(3 x \right)} \cos^{2}{\left(3 x \right)}}{2} - \frac{\left(\frac{4 x \left(2 x - 1\right)}{\sqrt{x \left(1 - x\right)}} - \frac{16 x}{\sqrt{x \left(1 - x\right)}} - \frac{4 x \left(2 x - 1\right)^{2}}{\left(x \left(1 - x\right)\right)^{\frac{3}{2}}} + \frac{12 x \left(2 x - 1\right)}{\left(x \left(1 - x\right)\right)^{\frac{3}{2}}} + \frac{3 x \left(2 x - 1\right)^{3}}{\left(x \left(1 - x\right)\right)^{\frac{5}{2}}} + 8 \sqrt{x \left(1 - x\right)} \left(x - 3\right) + \frac{8 \left(x - 2\right) \left(2 x - 1\right)}{\sqrt{x \left(1 - x\right)}} - \frac{8 \left(x - 1\right)}{\sqrt{x \left(1 - x\right)}} - \frac{8 \left(2 x - 1\right)}{\sqrt{x \left(1 - x\right)}} + \frac{16}{\sqrt{x \left(1 - x\right)}} - \frac{2 \left(x - 1\right) \left(2 x - 1\right)^{2}}{\left(x \left(1 - x\right)\right)^{\frac{3}{2}}} + \frac{4 \left(2 x - 1\right)^{2}}{\left(x \left(1 - x\right)\right)^{\frac{3}{2}}}\right) e^{- x} \cos^{3}{\left(3 x \right)}}{8} + \frac{9 \left(2 x - 1\right) e^{- x} \sin{\left(3 x \right)} \cos^{2}{\left(3 x \right)}}{\sqrt{x \left(1 - x\right)}} + \frac{75 \left(\tan^{2}{\left(5 x \right)} + 1\right)^{2} e^{\tan{\left(5 x \right)}}}{x \sqrt{1 - \log{\left(x \right)}^{2}}} + \frac{150 \left(\tan^{2}{\left(5 x \right)} + 1\right) e^{\tan{\left(5 x \right)}} \tan{\left(5 x \right)}}{x \sqrt{1 - \log{\left(x \right)}^{2}}} - \frac{15 \left(\tan^{2}{\left(5 x \right)} + 1\right) e^{\tan{\left(5 x \right)}}}{x^{2} \sqrt{1 - \log{\left(x \right)}^{2}}} + \frac{15 \left(\tan^{2}{\left(5 x \right)} + 1\right) e^{\tan{\left(5 x \right)}} \log{\left(x \right)}}{x^{2} \left(1 - \log{\left(x \right)}^{2}\right)^{\frac{3}{2}}} + \frac{2 e^{\tan{\left(5 x \right)}}}{x^{3} \sqrt{1 - \log{\left(x \right)}^{2}}} - \frac{3 e^{\tan{\left(5 x \right)}} \log{\left(x \right)}}{x^{3} \left(1 - \log{\left(x \right)}^{2}\right)^{\frac{3}{2}}} + \frac{e^{\tan{\left(5 x \right)}}}{x^{3} \left(1 - \log{\left(x \right)}^{2}\right)^{\frac{3}{2}}} + \frac{3 e^{\tan{\left(5 x \right)}} \log{\left(x \right)}^{2}}{x^{3} \left(1 - \log{\left(x \right)}^{2}\right)^{\frac{5}{2}}}
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Gráfico
Derivada de x*exp(-x)sqrt(x-x^2)*cos^3(3*x)+arcsin(ln(x))*exp^tg(5*x)
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