Rate of change?

Question

An object with weight W is dragged along a horizontal plane by a force acting along a rope attached to the object. If the rope makes an angle t with the plane, then the magnitude of the force is F= (μW)/(μsin t+cos) where μ is a constant called the coefficient of friction. Let W=50 lb and μ=.6. \\

 

(a) Find the rate of change of F with respect to t.\\

 

(b) When is this rate of change equal to zero? Round your answer to the nearest hundredth.\\

Answer 1

A) Find the derivative of F.

 

B) Set the derivative of F equal to zero.  Solve for t from there.