Find the Derivative of cot2x

The derivative of cot2x is equal to -2cosec²2x. The differentiation of cot2x is denoted by d/dx (cot2x), and its formula is given by

$\dfrac{d}{dx}$ (cot 2x) = -2cosec²2x.

cot2x Derivative

Answer: The derivative of cot2x, that is, d/dx(cot2x) is equal to -2cosec²2x.

Explanation:

To find the derivative of cot2x by the chain rule, let us put

z=2x.

So dz/dx = 2.

Now, by the chain rule, the derivative of cot2x is

$\dfrac{d}{dx}$ (cot 2x)

= $\dfrac{d}{dz}$ (cot z) $\times \dfrac{dz}{dx}$

= -cosec²z × 2 as the derivative of cotx is -cosec²x and dz/dx=2.

= -2cosec²2x, because z=2x.

So the derivative of cot(2x) is equal to -2cosec²2x, and this is obtained by the chain rule of differentiation.

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