What is the derivative of 2x-cot^2(x) ?

The derivative of 2x-cot^2(x) is 2+2csc^2(x)cot(x)

What is the first derivative of 2x-cot^2(x) ?

The first derivative of 2x-cot^2(x) is 2+2csc^2(x)cot(x)

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derivative of

2 x - cot^{2} (x)

2 + 2 csc^{2} (x) cot (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= 2 - (- 2 csc^{2} (x) cot (x))

Simplify

= 2 + 2 csc^{2} (x) cot (x)

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