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

The derivative of (-9x^2+4)^2 is -36x(-9x^2+4)

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

The first derivative of (-9x^2+4)^2 is -36x(-9x^2+4)

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derivative of

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

- 36 x (- 9 x^{2} + 4)

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (- 9 x^{2} + 4) = - 18 x

= 2 (- 9 x^{2} + 4) (- 18 x)

Simplify

= - 36 x (- 9 x^{2} + 4)

\int \frac{2 x ^{4} + 3 x}{2 x ^{2}} d x

\int \frac{1}{1 + t} d t

\frac{4 x}{x ^{2} + 4}

\int e^{x^{2}} 4 x d x

\int_{1}^{3} x^{2} d x

What is the derivative of (-9x^2+4)^2 ?
The derivative of (-9x^2+4)^2 is -36x(-9x^2+4)
What is the first derivative of (-9x^2+4)^2 ?
The first derivative of (-9x^2+4)^2 is -36x(-9x^2+4)