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Popular >

derivative of arccos(2x^2)

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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