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y=(5x-1)^7*arcsin(4x+3)
Derivada de la función/ arcsin/ y=(5x-1)/ sin(4x+3)/ y=(5x-1)^7*arcsin(4x+3)

Derivada de y=(5x-1)^7*arcsin(4x+3)

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Ha introducido [src] 
         7              
(5*x - 1) *asin(4*x + 3)
(5x−1)7asin⁡(4x+3)\left(5 x - 1\right)^{7} \operatorname{asin}{\left(4 x + 3 \right)} 
(5*x - 1)^7*asin(4*x + 3)
Gráfica
02468-8-6-4-2-1010-20000002000000
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Primera derivada [src] 
               7                                 
    4*(5*x - 1)                   6              
------------------- + 35*(5*x - 1) *asin(4*x + 3)
   ________________                              
  /              2                               
\/  1 - (4*x + 3)
35(5x−1)6asin⁡(4x+3)+4(5x−1)71−(4x+3)235 \left(5 x - 1\right)^{6} \operatorname{asin}{\left(4 x + 3 \right)} + \frac{4 \left(5 x - 1\right)^{7}}{\sqrt{1 - \left(4 x + 3\right)^{2}}}
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Segunda derivada [src] 
              /                                                      2          \
            5 |                       140*(-1 + 5*x)     8*(-1 + 5*x) *(3 + 4*x)|
2*(-1 + 5*x) *|525*asin(3 + 4*x) + ------------------- + -----------------------|
              |                       ________________                     3/2  |
              |                      /              2      /             2\     |
              \                    \/  1 - (3 + 4*x)       \1 - (3 + 4*x) /     /
2(5x−1)5(525asin⁡(4x+3)+140(5x−1)1−(4x+3)2+8(4x+3)(5x−1)2(1−(4x+3)2)32)2 \left(5 x - 1\right)^{5} \left(525 \operatorname{asin}{\left(4 x + 3 \right)} + \frac{140 \left(5 x - 1\right)}{\sqrt{1 - \left(4 x + 3\right)^{2}}} + \frac{8 \left(4 x + 3\right) \left(5 x - 1\right)^{2}}{\left(1 - \left(4 x + 3\right)^{2}\right)^{\frac{3}{2}}}\right)
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Tercera derivada [src] 
              /                                                           /                  2 \                            \
              |                                                         3 |       3*(3 + 4*x)  |                            |
              |                                            32*(-1 + 5*x) *|-1 + ---------------|                            |
              |                                                           |                   2|                 2          |
            4 |                        6300*(-1 + 5*x)                    \     -1 + (3 + 4*x) /   840*(-1 + 5*x) *(3 + 4*x)|
2*(-1 + 5*x) *|13125*asin(3 + 4*x) + ------------------- - ------------------------------------- + -------------------------|
              |                         ________________                            3/2                               3/2   |
              |                        /              2             /             2\                  /             2\      |
              \                      \/  1 - (3 + 4*x)              \1 - (3 + 4*x) /                  \1 - (3 + 4*x) /      /
2(5x−1)4(13125asin⁡(4x+3)+6300(5x−1)1−(4x+3)2+840(4x+3)(5x−1)2(1−(4x+3)2)32−32(5x−1)3(3(4x+3)2(4x+3)2−1−1)(1−(4x+3)2)32)2 \left(5 x - 1\right)^{4} \left(13125 \operatorname{asin}{\left(4 x + 3 \right)} + \frac{6300 \left(5 x - 1\right)}{\sqrt{1 - \left(4 x + 3\right)^{2}}} + \frac{840 \left(4 x + 3\right) \left(5 x - 1\right)^{2}}{\left(1 - \left(4 x + 3\right)^{2}\right)^{\frac{3}{2}}} - \frac{32 \left(5 x - 1\right)^{3} \left(\frac{3 \left(4 x + 3\right)^{2}}{\left(4 x + 3\right)^{2} - 1} - 1\right)}{\left(1 - \left(4 x + 3\right)^{2}\right)^{\frac{3}{2}}}\right)
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Gráfico
Derivada de y=(5x-1)^7*arcsin(4x+3)
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