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Popular >

derivative of (1+x^2sin(x)^4)

Solution

\frac{d}{d x} ((1 + x^{2} sin (x))^{4})

Solution

4 (1 + x^{2} sin (x))^{3} (x^{2} cos (x) + 2 x sin (x))

Solution steps

\frac{d}{d x} ((1 + x^{2} sin (x))^{4})

Apply the chain rule:

4 (1 + x^{2} sin (x))^{3} \frac{d}{d x} (1 + x^{2} sin (x))

= 4 (1 + x^{2} sin (x))^{3} \frac{d}{d x} (1 + x^{2} sin (x))

\frac{d}{d x} (1 + x^{2} sin (x)) = x^{2} cos (x) + 2 x sin (x)

= 4 (1 + x^{2} sin (x))^{3} (x^{2} cos (x) + 2 x sin (x))

Popular Examples

integral of (2x+7)/((2x^2+14x)^4)

\int \frac{2 x + 7}{( 2 x ^{2} + 14 x ) ^{4}} d x

integral of sin(x)(1+cos(x))^4

\int sin (x) (1 + cos (x))^{4} d x

(\partial)/(\partial y)(x^2+y^2-z^2)

\frac{\partial}{\partial y} (x^{2} + y^{2} - z^{2})

laplacetransform e^{-t}((e^t+e^{-t})/2)laplace transform

e^{- t} (\frac{e ^{t} + e ^{- t}}{2})

tangent of f(x)=(25x^3)/3+10x^2+4x-7 tangent of

f (x) = \frac{25 x ^{3}}{3} + 10 x^{2} + 4 x - 7

Frequently Asked Questions (FAQ)

What is the derivative of (1+x^2sin(x)^4) ?
The derivative of (1+x^2sin(x)^4) is 4(1+x^2sin(x))^3(x^2cos(x)+2xsin(x))
What is the first derivative of (1+x^2sin(x)^4) ?
The first derivative of (1+x^2sin(x)^4) is 4(1+x^2sin(x))^3(x^2cos(x)+2xsin(x))