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# Find the derivative of cos(4x^2-5)^2

### Videos

$-16x\cos\left(4x^2-5\right)\sin\left(4x^2-5\right)$

## Step-by-step explanation

Problem

$\frac{d}{dx}\left(\cos\left(4x^2-5\right)^2\right)$
1

The power rule for differentiation states that if $n$ is a real number and $f(x) = x^n$, then $f'(x) = nx^{n-1}$

$2\frac{d}{dx}\left(\cos\left(4x^2-5\right)\right)\cos\left(4x^2-5\right)$

$-16x\cos\left(4x^2-5\right)\sin\left(4x^2-5\right)$
$\frac{d}{dx}\left(\cos\left(4x^2-5\right)^2\right)$

### Main topic:

Differential calculus

~ 0.55 seconds