What is the derivative of y=1-cot(2x) ?

The derivative of y=1-cot(2x) is 2csc^2(2x)

What is the first derivative of y=1-cot(2x) ?

The first derivative of y=1-cot(2x) is 2csc^2(2x)

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derivative of

y = 1 - cot (2 x)

2 csc^{2} (2 x)

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{d}{d x} (1) = 0

\frac{d}{d x} (cot (2 x)) = - csc^{2} (2 x) \cdot 2

= 0 - (- csc^{2} (2 x) \cdot 2)

Simplify

= 2 csc^{2} (2 x)

What is the derivative of y=1-cot(2x) ?
The derivative of y=1-cot(2x) is 2csc^2(2x)
What is the first derivative of y=1-cot(2x) ?
The first derivative of y=1-cot(2x) is 2csc^2(2x)