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Popular >

derivative of arctan(1/(10x)+1)

Solution

\frac{d}{d x} (arctan (\frac{1}{10 x}) + 1)

Solution

- \frac{10}{100 x ^{2} + 1}

Solution steps

\frac{d}{d x} (arctan (\frac{1}{10 x}) + 1)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (arctan (\frac{1}{10 x})) + \frac{d}{d x} (1)

\frac{d}{d x} (arctan (\frac{1}{10 x})) = - \frac{10}{1 + 100 x ^{2}}

\frac{d}{d x} (1) = 0

= - \frac{10}{1 + 100 x ^{2}} + 0

Simplify

= - \frac{10}{100 x ^{2} + 1}

Popular Examples

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

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f (x) = x^{3} - 2 x^{2}, g (x) = x^{2} - 2 x

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x \to 6 lim (\frac{5}{6} + 9 (- \frac{2}{3}))

Frequently Asked Questions (FAQ)

What is the derivative of arctan(1/(10x)+1) ?
The derivative of arctan(1/(10x)+1) is -(10)/(100x^2+1)
What is the first derivative of arctan(1/(10x)+1) ?
The first derivative of arctan(1/(10x)+1) is -(10)/(100x^2+1)