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# Find the derivative of (1-1cos(x))^0.5

### Videos

$\frac{\frac{1}{2}\sin\left(x\right)}{\sqrt{1-\cos\left(x\right)}}$

## Step-by-step explanation

Problem

$\frac{d}{dx}\left(\sqrt{1-\cos\left(x\right)}\right)$
1

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

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

$\frac{\frac{1}{2}\sin\left(x\right)}{\sqrt{1-\cos\left(x\right)}}$

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$\frac{d}{dx}\left(\sqrt{1-\cos\left(x\right)}\right)$

### Main topic:

Differential calculus

~ 0.32 seconds