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Popular >

derivative of (arccot(x)^5)

Solution

\frac{d}{d x} ((arccot (x))^{5})

Solution

- \frac{5 arccot ^{4} ( x )}{x ^{2} + 1}

Solution steps

\frac{d}{d x} ((arccot (x))^{5})

Apply the chain rule:

5 (arccot (x))^{4} \frac{d}{d x} (arccot (x))

= 5 (arccot (x))^{4} \frac{d}{d x} (arccot (x))

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

= 5 (arccot (x))^{4} (- \frac{1}{x ^{2} + 1})

Simplify

5 arccot^{4} (x) (- \frac{1}{x ^{2} + 1}) : - \frac{5 arccot ^{4} ( x )}{x ^{2} + 1}

= - \frac{5 arccot ^{4} ( x )}{x ^{2} + 1}

Popular Examples

derivative of (x^2-16x+64)(x^2+64x+4)derivative of

(x^{2} - 16 x + 64) (x^{2} + 64 x + 4)

integral of (sec(1/x))/(x^2)

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

(dy}{dx}=(\frac{x-y)/x)

\frac{d y}{d x} = (\frac{x - y}{x})

(cos (5 x))^{^{'}}

derivative of f(x)=(6x)/(x+5)derivative of

f (x) = \frac{6 x}{x + 5}

Frequently Asked Questions (FAQ)

What is the derivative of (arccot(x)^5) ?
The derivative of (arccot(x)^5) is -(5arccot^4(x))/(x^2+1)
What is the first derivative of (arccot(x)^5) ?
The first derivative of (arccot(x)^5) is -(5arccot^4(x))/(x^2+1)