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Popular >

derivative of arctan(x+arccos(x))

Solution

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

Solution

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

Graph

Popular Examples

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x \to \infty lim (4 x + 5)

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f (x) = \frac{2}{x}, at x = 2

sum from n=1 to infinity of (2/n)^n*n!

n = 1 \sum \infty (\frac{2}{n})^{n} \cdot n!

(\partial)/(\partial x)(e^{sqrt(x)}ln(y))

\frac{\partial}{\partial x} (e^{x} ln (y))

limit as x approaches-3 of (3x)/(x+3)

x \to - 3 lim (\frac{3 x}{x + 3})

Frequently Asked Questions (FAQ)

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