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Popular >

derivative of arccot(2x)

Solution

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

Solution

- \frac{2}{4 x ^{2} + 1}

Solution steps

\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) = 2

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

Simplify

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

= - \frac{2}{4 x ^{2} + 1}

Popular Examples

integral of (7(x^2+5))/(x(x^2+7))

\int \frac{7 ( x ^{2} + 5 )}{x ( x ^{2} + 7 )} d x

area 3x^3-x^2-10x,-x^2+2x,[-2,2]area

3 x^{3} - x^{2} - 10 x, - x^{2} + 2 x, [- 2, 2]

integral from-2 to 0 of 2x^2+5x+6

\int_{- 2}^{0} 2 x^{2} + 5 x + 6 d x

derivative of f(x)=-3/2 x^3+2/5 x^2-4 derivative of

f (x) = - \frac{3}{2} x^{3} + \frac{2}{5} x^{2} - 4

derivative of g(t)= 7/(8t^5)derivative of

g (t) = \frac{7}{8 t ^{5}}

Frequently Asked Questions (FAQ)

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