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Popular >

derivative of arccos(x/7)

Solution

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

Solution

- \frac{1}{49 - x ^{2}}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (\frac{x}{7}) = \frac{1}{7}

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

Simplify

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

= - \frac{1}{49 - x ^{2}}

Graph

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Frequently Asked Questions (FAQ)

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