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Popular >

derivative of arccot(sqrt(4x))

Solution

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

Solution

- \frac{1}{x ( 4 x + 1 )}

Solution steps

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

Simplify

arccot (4 x) : arccot (2 x)

= \frac{d}{d x} (arccot (2 x))

Apply the chain rule:

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

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

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

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

Simplify

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

= - \frac{1}{x ( 4 x + 1 )}

Popular Examples

derivative of y^2(2-x-x^3)

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

derivative of x^2+2 derivative of

x^{2} + 2

y^'+3y=0,y(0)=0

y^{^{'}} + 3 y = 0, y (0) = 0

(\partial)/(\partial x)(e^{(y+1)x})

\frac{\partial}{\partial x} (e^{(y + 1) x})

derivative of f(x)=(x^3+9x^2+x-8)/x derivative of

f (x) = \frac{x ^{3} + 9 x ^{2} + x - 8}{x}

Frequently Asked Questions (FAQ)

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