What is the derivative of cot(x+arctan(x+1)) ?

The derivative of cot(x+arctan(x+1)) is -csc^2(x)+1/(x^2+2x+2)

What is the first derivative of cot(x+arctan(x+1)) ?

The first derivative of cot(x+arctan(x+1)) is -csc^2(x)+1/(x^2+2x+2)

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\frac{d}{d x} (cot (x) + arctan (x + 1))

- csc^{2} (x) + \frac{1}{x ^{2} + 2 x + 2}

Solution steps

\frac{d}{d x} (cot (x) + arctan (x + 1))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (cot (x)) + \frac{d}{d x} (arctan (x + 1))

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

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

= - csc^{2} (x) + \frac{1}{x ^{2} + 2 x + 2}

\frac{d}{d x} ((x^{3} + 1)^{4})

\int x^{2} - 7 x + 2 d x

\frac{d}{d x} ((1 + cos^{2} (x))^{8})

\int (\frac{7 x + 3}{x}) d x

\frac{\partial}{\partial x} (ln (x) - 1)

What is the derivative of cot(x+arctan(x+1)) ?
The derivative of cot(x+arctan(x+1)) is -csc^2(x)+1/(x^2+2x+2)
What is the first derivative of cot(x+arctan(x+1)) ?
The first derivative of cot(x+arctan(x+1)) is -csc^2(x)+1/(x^2+2x+2)