What is the derivative of (-9x^3+5x^2)^4 ?

The derivative of (-9x^3+5x^2)^4 is 4(-9x^3+5x^2)^3(-27x^2+10x)

What is the first derivative of (-9x^3+5x^2)^4 ?

The first derivative of (-9x^3+5x^2)^4 is 4(-9x^3+5x^2)^3(-27x^2+10x)

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derivative of

(- 9 x^{3} + 5 x^{2})^{4}

4 (- 9 x^{3} + 5 x^{2})^{3} (- 27 x^{2} + 10 x)

Solution steps

\frac{d}{d x} ((- 9 x^{3} + 5 x^{2})^{4})

Apply the chain rule:

4 (- 9 x^{3} + 5 x^{2})^{3} \frac{d}{d x} (- 9 x^{3} + 5 x^{2})

= 4 (- 9 x^{3} + 5 x^{2})^{3} \frac{d}{d x} (- 9 x^{3} + 5 x^{2})

\frac{d}{d x} (- 9 x^{3} + 5 x^{2}) = - 27 x^{2} + 10 x

= 4 (- 9 x^{3} + 5 x^{2})^{3} (- 27 x^{2} + 10 x)

\int (4 sec (x) tan (x) + 3 sec^{2} (x)) d x

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

\int u^{- 3} \frac{1}{2} d u

\frac{d y}{d x} = x e^{- x}

\int_{0}^{7} \frac{5}{3} x d x

What is the derivative of (-9x^3+5x^2)^4 ?
The derivative of (-9x^3+5x^2)^4 is 4(-9x^3+5x^2)^3(-27x^2+10x)
What is the first derivative of (-9x^3+5x^2)^4 ?
The first derivative of (-9x^3+5x^2)^4 is 4(-9x^3+5x^2)^3(-27x^2+10x)