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\frac{d}{dx}\left(arcsin\left(\cos\left(\frac{x}{3}\right)\right)\right)

Derive the function arcsin(cos(x/3)) with respect to x

Answer

$-\frac{1}{3}$

Step-by-step explanation

Problem

$\frac{d}{dx}\left(arcsin\left(\cos\left(\frac{x}{3}\right)\right)\right)$
1

Taking the derivative of arcsine

$\frac{d}{dx}\left(\cos\left(\frac{x}{3}\right)\right)\frac{1}{\sqrt{1-\cos\left(\frac{x}{3}\right)^2}}$

Unlock this step-by-step solution!

Answer

$-\frac{1}{3}$
$\frac{d}{dx}\left(arcsin\left(\cos\left(\frac{x}{3}\right)\right)\right)$

Main topic:

Inverse trigonometric functions differentiation

Used formulas:

5. See formulas

Time to solve it:

~ 1.64 seconds