Find the derivative of $r ( \theta ) = 5 \cos ( \cos ( \cos ( \theta ) ) )$
A)1.418311
B) $- 5 \sin ( \cos ( \cos ( \theta ) ) * ( \sin ( \cos ( \theta ) ) * ( \sin ( \theta ) )$
C) $- 5 \sin ( \cos ( \sin ( \theta ) ) * ( \cos ( \theta ) )$
D) $\sin ( \sin ( \sin ( \theta ) ) * 5 \cos ( \theta )$

Question

Quizplus · Accepted Answer

The derivative of $r(\theta) = 5\cos(\cos(\cos(\theta)))$ involves applying the chain rule multiple times. First, differentiate the outer function, then multiply by the derivative of the next inner function, and so on, until you reach the innermost function. The correct derivative is $-5\sin(\cos(\cos(\theta))) \cdot (\sin(\cos(\theta)) \cdot (\sin(\theta)))$, which applies the chain rule correctly at each step.

Find the Derivative Of r(θ)=5cos⁡(cos⁡(cos⁡(θ)))r ( \theta ) = 5 \cos ( \cos ( \cos ( \theta ) ) )r(θ)=5cos(cos(cos(θ)))

Find the Derivative Of $r ( \theta ) = 5 \cos ( \cos ( \cos ( \theta ) ) )$