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)

\int - 12 t^{2} e^{- 3 t} d t

\frac{d}{d x} (\frac{sin ( x y )}{x ^{2} + y ^{2}})

\int 2^{3} sin (x^{2}) d x

\frac{d}{d x} (\frac{2}{4 x ^{2} + 1})

\frac{d x}{d t} = \frac{x ^{3} - x t ^{2}}{t ^{3}}, x (1) = 2

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)