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Popular >

derivative of arctan(11x)

Solution

\frac{d}{d x} (arctan (11 x))

Solution

\frac{11}{121 x ^{2} + 1}

Solution steps

\frac{d}{d x} (arctan (11 x))

Apply the chain rule:

\frac{1}{( 11 x ) ^{2} + 1} \frac{d}{d x} (11 x)

= \frac{1}{( 11 x ) ^{2} + 1} \frac{d}{d x} (11 x)

\frac{d}{d x} (11 x) = 11

= \frac{1}{( 11 x ) ^{2} + 1} \cdot 11

Simplify

\frac{1}{( 11 x ) ^{2} + 1} \cdot 11 : \frac{11}{121 x ^{2} + 1}

= \frac{11}{121 x ^{2} + 1}

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Frequently Asked Questions (FAQ)

What is the derivative of arctan(11x) ?
The derivative of arctan(11x) is (11)/(121x^2+1)
What is the first derivative of arctan(11x) ?
The first derivative of arctan(11x) is (11)/(121x^2+1)