en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

integral of (-1)/(y^2+1)

\int \frac{- 1}{y ^{2} + 1} d y

y^{''}+2y=sin(sqrt(2)t),y(0)=0,y^'(0)=0

y^{^{''}} + 2 y = sin (2 t), y (0) = 0, y^{^{'}} (0) = 0

integral of 1/(sec(x)+tan(x))

\int \frac{1}{sec ( x ) + tan ( x )} d x

inverse oflaplace 1/(s^3+8s^2+12s)inverse laplace

\frac{1}{s ^{3} + 8 s ^{2} + 12 s}

derivative of 2x^{-3x}

\frac{d}{d x} (2 x^{- 3 x})

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)