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Derive the function 1/2(x(4-1x^2)^0.5+4arcsin(x/2)) with respect to x

\frac{d}{dx}\left(\frac{1}{2}\cdot \left(x\sqrt{4-x^2}+4arcsin\left(\frac{x}{2}\right)\right)\right)

Step by step solution

Problem

$\frac{d}{dx}\left(\frac{1}{2}\cdot \left(x\sqrt{4-x^2}+4arcsin\left(\frac{x}{2}\right)\right)\right)$

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Answer

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$\frac{d}{dx}\left(\frac{1}{2}\cdot \left(x\sqrt{4-x^2}+4arcsin\left(\frac{x}{2}\right)\right)\right)$

Main topic:

Differential calculus

Used formulas:

0

Time to solve it:

0.2 seconds

All topics:


Differential calculus