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Popular >

derivative of arccos(x/5)

Solution

\frac{d}{d x} (arccos (\frac{x}{5}))

Solution

- \frac{1}{25 - x ^{2}}

Solution steps

\frac{d}{d x} (arccos (\frac{x}{5}))

Apply the chain rule:

- \frac{1}{1 - ( \frac{x}{5} ) ^{2}} \frac{d}{d x} (\frac{x}{5})

= - \frac{1}{1 - ( \frac{x}{5} ) ^{2}} \frac{d}{d x} (\frac{x}{5})

\frac{d}{d x} (\frac{x}{5}) = \frac{1}{5}

= - \frac{1}{1 - ( \frac{x}{5} ) ^{2}} \cdot \frac{1}{5}

Simplify

- \frac{1}{1 - ( \frac{x}{5} ) ^{2}} \cdot \frac{1}{5} : - \frac{1}{25 - x ^{2}}

= - \frac{1}{25 - x ^{2}}

Graph

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\frac{x}{x ^{2} + 13 x + 40}

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\int \frac{sec ^{2} ( \frac{1}{x ^{7}} )}{x ^{8}} d x

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\int \frac{2 x ^{2} - x + 3}{x ( x ^{2} + 1 )} d x

integral of sqrt(16+x^2)

\int 16 + x^{2} d x

y^{''}+2y^'=3+4sin(2t)

y^{^{''}} + 2 y^{^{'}} = 3 + 4 sin (2 t)

Frequently Asked Questions (FAQ)

What is the derivative of arccos(x/5) ?
The derivative of arccos(x/5) is -1/(sqrt(25-x^2))
What is the first derivative of arccos(x/5) ?
The first derivative of arccos(x/5) is -1/(sqrt(25-x^2))