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Popular >

derivative of arccos(9/x)

Solution

\frac{d}{d x} (arccos (\frac{9}{x}))

Solution

\frac{9}{x x ^{2} - 81}

Solution steps

\frac{d}{d x} (arccos (\frac{9}{x}))

Apply the chain rule:

- \frac{1}{1 - ( \frac{9}{x} ) ^{2}} \frac{d}{d x} (\frac{9}{x})

= - \frac{1}{1 - ( \frac{9}{x} ) ^{2}} \frac{d}{d x} (\frac{9}{x})

\frac{d}{d x} (\frac{9}{x}) = - \frac{9}{x ^{2}}

= - \frac{1}{1 - ( \frac{9}{x} ) ^{2}} (- \frac{9}{x ^{2}})

Simplify

- \frac{1}{1 - ( \frac{9}{x} ) ^{2}} (- \frac{9}{x ^{2}}) : \frac{9}{x x ^{2} - 81}

= \frac{9}{x x ^{2} - 81}

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\int \frac{1}{x 64 + ln ^{2} ( x )} d x

integral of ((2x-3))/(sqrt(9-x^2))

\int \frac{( 2 x - 3 )}{9 - x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the derivative of arccos(9/x) ?
The derivative of arccos(9/x) is 9/(xsqrt(x^2-81))
What is the first derivative of arccos(9/x) ?
The first derivative of arccos(9/x) is 9/(xsqrt(x^2-81))