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Popular >

derivative of arccos(7x^2)

Solution

\frac{d}{d x} (arccos (7 x^{2}))

Solution

- \frac{14 x}{1 - 49 x ^{4}}

Solution steps

\frac{d}{d x} (arccos (7 x^{2}))

Apply the chain rule:

- \frac{1}{1 - ( 7 x ^{2} ) ^{2}} \frac{d}{d x} (7 x^{2})

= - \frac{1}{1 - ( 7 x ^{2} ) ^{2}} \frac{d}{d x} (7 x^{2})

\frac{d}{d x} (7 x^{2}) = 14 x

= - \frac{1}{1 - ( 7 x ^{2} ) ^{2}} \cdot 14 x

Simplify

- \frac{1}{1 - ( 7 x ^{2} ) ^{2}} \cdot 14 x : - \frac{14 x}{1 - 49 x ^{4}}

= - \frac{14 x}{1 - 49 x ^{4}}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of arccos(7x^2) ?
The derivative of arccos(7x^2) is -(14x)/(sqrt(1-49x^4))
What is the first derivative of arccos(7x^2) ?
The first derivative of arccos(7x^2) is -(14x)/(sqrt(1-49x^4))