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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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Gráfico:

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Solución

Ha introducido [src]
                            2   
             /  ___\    asin (x)
(3*x - 4)*cos\\/ x / - E        
$$- e^{\operatorname{asin}^{2}{\left(x \right)}} + \left(3 x - 4\right) \cos{\left(\sqrt{x} \right)}$$
(3*x - 4)*cos(sqrt(x)) - E^(asin(x)^2)
Gráfica
Primera derivada [src]
                              2                          
                          asin (x)                /  ___\
     /  ___\   2*asin(x)*e           (3*x - 4)*sin\\/ x /
3*cos\\/ x / - ------------------- - --------------------
                      ________                 ___       
                     /      2              2*\/ x        
                   \/  1 - x                             
$$3 \cos{\left(\sqrt{x} \right)} - \frac{2 e^{\operatorname{asin}^{2}{\left(x \right)}} \operatorname{asin}{\left(x \right)}}{\sqrt{1 - x^{2}}} - \frac{\left(3 x - 4\right) \sin{\left(\sqrt{x} \right)}}{2 \sqrt{x}}$$
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 /        
$$- \frac{2 x e^{\operatorname{asin}^{2}{\left(x \right)}} \operatorname{asin}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{4 e^{\operatorname{asin}^{2}{\left(x \right)}} \operatorname{asin}^{2}{\left(x \right)}}{x^{2} - 1} + \frac{2 e^{\operatorname{asin}^{2}{\left(x \right)}}}{x^{2} - 1} - \frac{\left(3 x - 4\right) \cos{\left(\sqrt{x} \right)}}{4 x} - \frac{3 \sin{\left(\sqrt{x} \right)}}{\sqrt{x}} + \frac{\left(3 x - 4\right) \sin{\left(\sqrt{x} \right)}}{4 x^{\frac{3}{2}}}$$
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 /         
$$- \frac{6 x^{2} e^{\operatorname{asin}^{2}{\left(x \right)}} \operatorname{asin}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{5}{2}}} - \frac{12 x e^{\operatorname{asin}^{2}{\left(x \right)}} \operatorname{asin}^{2}{\left(x \right)}}{\left(x^{2} - 1\right)^{2}} - \frac{6 x e^{\operatorname{asin}^{2}{\left(x \right)}}}{\left(x^{2} - 1\right)^{2}} - \frac{8 e^{\operatorname{asin}^{2}{\left(x \right)}} \operatorname{asin}^{3}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{14 e^{\operatorname{asin}^{2}{\left(x \right)}} \operatorname{asin}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{9 \cos{\left(\sqrt{x} \right)}}{4 x} + \frac{3 \left(3 x - 4\right) \cos{\left(\sqrt{x} \right)}}{8 x^{2}} + \frac{\left(3 x - 4\right) \sin{\left(\sqrt{x} \right)}}{8 x^{\frac{3}{2}}} + \frac{9 \sin{\left(\sqrt{x} \right)}}{4 x^{\frac{3}{2}}} - \frac{3 \left(3 x - 4\right) \sin{\left(\sqrt{x} \right)}}{8 x^{\frac{5}{2}}}$$
Gráfico
Derivada de y=(3x-4)*cos√x-e^arcsinx^2