What is (\partial)/(\partial x)(5arccot(x)) ?

The answer to (\partial)/(\partial x)(5arccot(x)) is -5/(x^2+1)

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(\partial)/(\partial x)(5arccot(x))

\frac{\partial}{\partial x} (5 arccot (x))

- \frac{5}{x ^{2} + 1}

Solution steps

\frac{\partial}{\partial x} (5 arccot (x))

Take the constant out:

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

= 5 \frac{\partial}{\partial x} (arccot (x))

Apply the common derivative:

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

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

Simplify

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

= - \frac{5}{x ^{2} + 1}

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\int \frac{e ^{x - y}}{1 + e ^{x}}

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What is (\partial)/(\partial x)(5arccot(x)) ?
The answer to (\partial)/(\partial x)(5arccot(x)) is -5/(x^2+1)