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Popular >

derivative of arccot(sqrt(x-1))

Solution

\frac{d}{d x} (arccot (x - 1))

Solution

- \frac{1}{2 x x - 1}

Solution steps

\frac{d}{d x} (arccot (x - 1))

Apply the chain rule:

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

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

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

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

Simplify

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

= - \frac{1}{2 x x - 1}

Popular Examples

derivative of (9x)/(sqrt(x^2+5))derivative of

\frac{9 x}{x ^{2} + 5}

limit as x approaches pi/2 of (tan(2x))/(x-pi/2)

x \to \frac{π}{2} lim (\frac{tan ( 2 x )}{x - \frac{π}{2}})

(d^2y)/(dx^2)+4y=2sin(3x)

\frac{d ^{2} y}{d x ^{2}} + 4 y = 2 sin (3 x)

y^'=k+bcos(2pit)

y^{^{'}} = k + b cos (2 π t)

derivative of 2x^3+5

\frac{d}{d x} (2 x^{3} + 5)

Frequently Asked Questions (FAQ)

What is the derivative of arccot(sqrt(x-1)) ?
The derivative of arccot(sqrt(x-1)) is -1/(2xsqrt(x-1))
What is the first derivative of arccot(sqrt(x-1)) ?
The first derivative of arccot(sqrt(x-1)) is -1/(2xsqrt(x-1))