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Popular >

derivative of arccos(x/8)

Solution

\frac{d}{d x} (arccos (\frac{x}{8}))

Solution

- \frac{1}{64 - x ^{2}}

Solution steps

\frac{d}{d x} (arccos (\frac{x}{8}))

Apply the chain rule:

- \frac{1}{1 - ( \frac{x}{8} ) ^{2}} \frac{d}{d x} (\frac{x}{8})

= - \frac{1}{1 - ( \frac{x}{8} ) ^{2}} \frac{d}{d x} (\frac{x}{8})

\frac{d}{d x} (\frac{x}{8}) = \frac{1}{8}

= - \frac{1}{1 - ( \frac{x}{8} ) ^{2}} \cdot \frac{1}{8}

Simplify

- \frac{1}{1 - ( \frac{x}{8} ) ^{2}} \cdot \frac{1}{8} : - \frac{1}{64 - x ^{2}}

= - \frac{1}{64 - x ^{2}}

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\int \frac{1}{x 9 x ^{2} - 25} d x

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(\partial)/(\partial x)(6x^7y^4+2x^6y^8)

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Frequently Asked Questions (FAQ)

What is the derivative of arccos(x/8) ?
The derivative of arccos(x/8) is -1/(sqrt(64-x^2))
What is the first derivative of arccos(x/8) ?
The first derivative of arccos(x/8) is -1/(sqrt(64-x^2))