Final Answer
Step-by-step Solution
Specify the solving method
Taking the derivative of arcsine
Learn how to solve problems step by step online.
$\frac{1}{\sqrt{1-\cos\left(\frac{x}{3}\right)^2}}\frac{d}{dx}\left(\cos\left(\frac{x}{3}\right)\right)$
Learn how to solve problems step by step online. Find the derivative of arcsin(cos(x/3)). Taking the derivative of arcsine. The derivative of the cosine of a function is equal to minus the sine of the function times the derivative of the function, in other words, if f(x) = \cos(x), then f'(x) = -\sin(x)\cdot D_x(x). Multiplying the fraction by -1. The derivative of a function multiplied by a constant (\frac{1}{3}) is equal to the constant times the derivative of the function.