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Popular >

derivative of arccos(2sqrt(x))

Solution

\frac{d}{d x} (arccos (2 x))

Solution

- \frac{1}{x 1 - 4 x}

Solution steps

\frac{d}{d x} (arccos (2 x))

Apply the chain rule:

- \frac{1}{1 - ( 2 x ) ^{2}} \frac{d}{d x} (2 x)

= - \frac{1}{1 - ( 2 x ) ^{2}} \frac{d}{d x} (2 x)

\frac{d}{d x} (2 x) = \frac{1}{x}

= - \frac{1}{1 - ( 2 x ) ^{2}} \cdot \frac{1}{x}

Simplify

- \frac{1}{1 - ( 2 x ) ^{2}} \cdot \frac{1}{x} : - \frac{1}{x 1 - 4 x}

= - \frac{1}{x 1 - 4 x}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of arccos(2sqrt(x)) ?
The derivative of arccos(2sqrt(x)) is -1/(sqrt(x)\sqrt{1-4x)}
What is the first derivative of arccos(2sqrt(x)) ?
The first derivative of arccos(2sqrt(x)) is -1/(sqrt(x)\sqrt{1-4x)}