Question

use the rules of differentiation to find the derivative of the function.
y=pi/3cos(theta)-cos(theta)

Answer 1

\(\large y = \frac{\pi}{3}\cos(\theta)-\cos(\theta)\) ?

Answer 2

Is that the function?

Answer 3

yes

Answer 4

Is that the function? Or is the first \(\cos(\theta)\) in the denominator?

Answer 5

If that is the function, factor out \(\cos(\theta)\) and then differentiate.

Answer 6

\(\large y = \frac{\pi}{3}\cos(\theta)-\cos(\theta) = \cos(\theta)(\pi / 3 - 1)\\ \large
\frac{dy}{d\theta} = \frac{d}{d\theta}~\cos(\theta)(\pi / 3 - 1) =
(\pi / 3 - 1)* \frac{d}{d\theta}\cos(\theta) = ?\)