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Popular >

derivative of arctan(x+arctan(1/x))

Solution

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

Solution

0

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= \frac{1}{x ^{2} + 1} - \frac{1}{1 + x ^{2}}

Simplify

\frac{1}{x ^{2} + 1} - \frac{1}{1 + x ^{2}} : 0

= 0

Popular Examples

integral from 0 to 2 of (2x-3)^5

\int_{0}^{2} (2 x - 3)^{5} d x

derivative of f(x)=sqrt(x)+1/(sqrt(x))derivative of

f (x) = x + \frac{1}{x}

integral of 4/(16+x^2)

\int \frac{4}{16 + x ^{2}} d x

integral of sin^4(v)cos^3(v)

\int sin^{4} (v) cos^{3} (v) d v

xy^'+y=2xy^2,y(1)=-5

x y^{^{'}} + y = 2 x y^{2}, y (1) = - 5

Frequently Asked Questions (FAQ)

What is the derivative of arctan(x+arctan(1/x)) ?
The derivative of arctan(x+arctan(1/x)) is 0
What is the first derivative of arctan(x+arctan(1/x)) ?
The first derivative of arctan(x+arctan(1/x)) is 0