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Popular >

derivative of (arccos(x)^2)

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of (arccos(x)^2) ?
The derivative of (arccos(x)^2) is -(2arccos(x))/(sqrt(1-x^2))
What is the first derivative of (arccos(x)^2) ?
The first derivative of (arccos(x)^2) is -(2arccos(x))/(sqrt(1-x^2))