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y=(3x-4)*cos√x-e^arcsinx^2
Derivada de la función/ cos√x/ sinx^2/ arcsin/ y=(3x-4)*cos√x-e^arcsinx^2

Derivada de y=(3x-4)*cos√x-e^arcsinx^2

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

Ha introducido [src] 
                            2   
             /  ___\    asin (x)
(3*x - 4)*cos\\/ x / - E
−easin⁡2(x)+(3x−4)cos⁡(x)- e^{\operatorname{asin}^{2}{\left(x \right)}} + \left(3 x - 4\right) \cos{\left(\sqrt{x} \right)} 
(3*x - 4)*cos(sqrt(x)) - E^(asin(x)^2)
Gráfica
02468-8-6-4-2-1010-500500
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Primera derivada [src] 
                              2                          
                          asin (x)                /  ___\
     /  ___\   2*asin(x)*e           (3*x - 4)*sin\\/ x /
3*cos\\/ x / - ------------------- - --------------------
                      ________                 ___       
                     /      2              2*\/ x        
                   \/  1 - x
3cos⁡(x)−2easin⁡2(x)asin⁡(x)1−x2−(3x−4)sin⁡(x)2x3 \cos{\left(\sqrt{x} \right)} - \frac{2 e^{\operatorname{asin}^{2}{\left(x \right)}} \operatorname{asin}{\left(x \right)}}{\sqrt{1 - x^{2}}} - \frac{\left(3 x - 4\right) \sin{\left(\sqrt{x} \right)}}{2 \sqrt{x}}
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Segunda derivada [src] 
                        2                      2                                                                       2   
       /  ___\      asin (x)         2     asin (x)                 /  ___\                 /  ___\                asin (x)
  3*sin\\/ x /   2*e           4*asin (x)*e           (-4 + 3*x)*cos\\/ x /   (-4 + 3*x)*sin\\/ x /   2*x*asin(x)*e        
- ------------ + ----------- + -------------------- - --------------------- + --------------------- - ---------------------
       ___               2                 2                   4*x                       3/2                       3/2     
     \/ x          -1 + x            -1 + x                                           4*x                  /     2\        
                                                                                                           \1 - x /
−2xeasin⁡2(x)asin⁡(x)(1−x2)32+4easin⁡2(x)asin⁡2(x)x2−1+2easin⁡2(x)x2−1−(3x−4)cos⁡(x)4x−3sin⁡(x)x+(3x−4)sin⁡(x)4x32- \frac{2 x e^{\operatorname{asin}^{2}{\left(x \right)}} \operatorname{asin}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{4 e^{\operatorname{asin}^{2}{\left(x \right)}} \operatorname{asin}^{2}{\left(x \right)}}{x^{2} - 1} + \frac{2 e^{\operatorname{asin}^{2}{\left(x \right)}}}{x^{2} - 1} - \frac{\left(3 x - 4\right) \cos{\left(\sqrt{x} \right)}}{4 x} - \frac{3 \sin{\left(\sqrt{x} \right)}}{\sqrt{x}} + \frac{\left(3 x - 4\right) \sin{\left(\sqrt{x} \right)}}{4 x^{\frac{3}{2}}}
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Tercera derivada [src] 
                                                2                      2               2                                                                                                     2                        2   
       /  ___\        /  ___\               asin (x)         3     asin (x)        asin (x)                   /  ___\                 /  ___\                   /  ___\            2     asin (x)      2          asin (x)
  9*cos\\/ x /   9*sin\\/ x /   14*asin(x)*e           8*asin (x)*e           6*x*e           3*(-4 + 3*x)*sin\\/ x /   (-4 + 3*x)*sin\\/ x /   3*(-4 + 3*x)*cos\\/ x /   12*x*asin (x)*e           6*x *asin(x)*e        
- ------------ + ------------ - -------------------- - -------------------- - ------------- - ----------------------- + --------------------- + ----------------------- - ----------------------- - ----------------------
      4*x              3/2                  3/2                    3/2                   2                5/2                      3/2                       2                            2                      5/2      
                    4*x             /     2\               /     2\             /      2\              8*x                      8*x                       8*x                    /      2\               /     2\         
                                    \1 - x /               \1 - x /             \-1 + x /                                                                                        \-1 + x /               \1 - x /
−6x2easin⁡2(x)asin⁡(x)(1−x2)52−12xeasin⁡2(x)asin⁡2(x)(x2−1)2−6xeasin⁡2(x)(x2−1)2−8easin⁡2(x)asin⁡3(x)(1−x2)32−14easin⁡2(x)asin⁡(x)(1−x2)32−9cos⁡(x)4x+3(3x−4)cos⁡(x)8x2+(3x−4)sin⁡(x)8x32+9sin⁡(x)4x32−3(3x−4)sin⁡(x)8x52- \frac{6 x^{2} e^{\operatorname{asin}^{2}{\left(x \right)}} \operatorname{asin}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{5}{2}}} - \frac{12 x e^{\operatorname{asin}^{2}{\left(x \right)}} \operatorname{asin}^{2}{\left(x \right)}}{\left(x^{2} - 1\right)^{2}} - \frac{6 x e^{\operatorname{asin}^{2}{\left(x \right)}}}{\left(x^{2} - 1\right)^{2}} - \frac{8 e^{\operatorname{asin}^{2}{\left(x \right)}} \operatorname{asin}^{3}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{14 e^{\operatorname{asin}^{2}{\left(x \right)}} \operatorname{asin}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{9 \cos{\left(\sqrt{x} \right)}}{4 x} + \frac{3 \left(3 x - 4\right) \cos{\left(\sqrt{x} \right)}}{8 x^{2}} + \frac{\left(3 x - 4\right) \sin{\left(\sqrt{x} \right)}}{8 x^{\frac{3}{2}}} + \frac{9 \sin{\left(\sqrt{x} \right)}}{4 x^{\frac{3}{2}}} - \frac{3 \left(3 x - 4\right) \sin{\left(\sqrt{x} \right)}}{8 x^{\frac{5}{2}}}
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Gráfico
Derivada de y=(3x-4)*cos√x-e^arcsinx^2
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