What is (\partial)/(\partial x)(20arctan(x)) ?

The answer to (\partial)/(\partial x)(20arctan(x)) is (20)/(x^2+1)

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(\partial)/(\partial x)(20arctan(x))

\frac{\partial}{\partial x} (20 arctan (x))

\frac{20}{x ^{2} + 1}

Solution steps

\frac{\partial}{\partial x} (20 arctan (x))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 20 \frac{\partial}{\partial x} (arctan (x))

Apply the common derivative:

\frac{\partial}{\partial x} (arctan (x)) = \frac{1}{x ^{2} + 1}

= 20 \cdot \frac{1}{x ^{2} + 1}

Simplify

20 \cdot \frac{1}{x ^{2} + 1} : \frac{20}{x ^{2} + 1}

= \frac{20}{x ^{2} + 1}

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What is (\partial)/(\partial x)(20arctan(x)) ?
The answer to (\partial)/(\partial x)(20arctan(x)) is (20)/(x^2+1)