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

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

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

Gráfico:

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Solución

Ha introducido [src] 
                            / 2\
             /  ___\    asin\x /
(3*x - 4)*cos\\/ x / - E
−easin⁡(x2)+(3x−4)cos⁡(x)- e^{\operatorname{asin}{\left(x^{2} \right)}} + \left(3 x - 4\right) \cos{\left(\sqrt{x} \right)} 
(3*x - 4)*cos(sqrt(x)) - E^asin(x^2)
Gráfica
02468-8-6-4-2-1010-5050
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Primera derivada [src] 
                        / 2\                       
                    asin\x /                /  ___\
     /  ___\   2*x*e           (3*x - 4)*sin\\/ x /
3*cos\\/ x / - ------------- - --------------------
                   ________              ___       
                  /      4           2*\/ x        
                \/  1 - x
−2xeasin⁡(x2)1−x4+3cos⁡(x)−(3x−4)sin⁡(x)2x- \frac{2 x e^{\operatorname{asin}{\left(x^{2} \right)}}}{\sqrt{1 - x^{4}}} + 3 \cos{\left(\sqrt{x} \right)} - \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 /      4  asin\x /      2  asin\x /                 /  ___\                 /  ___\
  3*sin\\/ x /   2*e           4*x *e           4*x *e           (-4 + 3*x)*cos\\/ x /   (-4 + 3*x)*sin\\/ x /
- ------------ - ----------- - -------------- + -------------- - --------------------- + ---------------------
       ___          ________            3/2              4                4*x                       3/2       
     \/ x          /      4     /     4\           -1 + x                                        4*x          
                 \/  1 - x      \1 - x /
−4x4easin⁡(x2)(1−x4)32+4x2easin⁡(x2)x4−1−2easin⁡(x2)1−x4−(3x−4)cos⁡(x)4x−3sin⁡(x)x+(3x−4)sin⁡(x)4x32- \frac{4 x^{4} e^{\operatorname{asin}{\left(x^{2} \right)}}}{\left(1 - x^{4}\right)^{\frac{3}{2}}} + \frac{4 x^{2} e^{\operatorname{asin}{\left(x^{2} \right)}}}{x^{4} - 1} - \frac{2 e^{\operatorname{asin}{\left(x^{2} \right)}}}{\sqrt{1 - x^{4}}} - \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\                                                                            
       /  ___\        /  ___\       3  asin\x /       5  asin\x /       7  asin\x /         asin\x /                   /  ___\                 /  ___\                   /  ___\
  9*cos\\/ x /   9*sin\\/ x /   28*x *e           24*x *e           24*x *e           12*x*e           3*(-4 + 3*x)*sin\\/ x /   (-4 + 3*x)*sin\\/ x /   3*(-4 + 3*x)*cos\\/ x /
- ------------ + ------------ - --------------- - --------------- - --------------- + -------------- - ----------------------- + --------------------- + -----------------------
      4*x              3/2                3/2                 2               5/2              4                   5/2                      3/2                       2         
                    4*x           /     4\           /      4\        /     4\           -1 + x                 8*x                      8*x                       8*x          
                                  \1 - x /           \-1 + x /        \1 - x /
−24x7easin⁡(x2)(1−x4)52−24x5easin⁡(x2)(x4−1)2−28x3easin⁡(x2)(1−x4)32+12xeasin⁡(x2)x4−1−9cos⁡(x)4x+3(3x−4)cos⁡(x)8x2+(3x−4)sin⁡(x)8x32+9sin⁡(x)4x32−3(3x−4)sin⁡(x)8x52- \frac{24 x^{7} e^{\operatorname{asin}{\left(x^{2} \right)}}}{\left(1 - x^{4}\right)^{\frac{5}{2}}} - \frac{24 x^{5} e^{\operatorname{asin}{\left(x^{2} \right)}}}{\left(x^{4} - 1\right)^{2}} - \frac{28 x^{3} e^{\operatorname{asin}{\left(x^{2} \right)}}}{\left(1 - x^{4}\right)^{\frac{3}{2}}} + \frac{12 x e^{\operatorname{asin}{\left(x^{2} \right)}}}{x^{4} - 1} - \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^(arcsin(x^2))
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