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

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

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

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

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derivative of

y = 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 (\frac{x ^{2} + 5}{( x + 2 ) ^{2}}) d x

\int \frac{x ^{3}}{x + 2} d x

\int y^{2} sin (y) d y

sin (2 x + 3)

x \to 0 lim (x^{3} cos (\frac{5}{x}))

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