Problem: Given that F (w) = cos(sin w) find F'(). Round your answer to 3 decimal places.

Velocity at the Equator Assuming the radius of the earth is 4,000 miles, use the information from Problem 43 to find the linear velocity of a person standing on the equator.

A student hands in the following work: Problem: Given that F (w) = cos(sin w) find F"(:), Round your answer to 3 decimal places. Student answer: Line 1: The variable here is w, but the method used to differentiate is the same as if the variable had been z. Line 2: Recall that the derivative of y cose is y =-sinz and the derivative of y= sin z is y = COS I. Line 3: Using the Product Rule, we get: Line 4. F" (w) = - sin(sin w) + cos(cos w) Line 5. To find F (;) we need to evaluate F (w) at w=D=. Line 6: F () -- sin(sin ) + cos (cos ) COS Line 7. F (;) - sin + Cos Line 8. Using a calculator to evaluate this, we get: Line 9: F ()x -0.6496369391 +0.7602445971 Line 10: F" ( =-0.650+0.760 0.110 Line 11: So the final answer (to 3 decimal places) is 0.110 Is the student's work correct? (Write "yes" or "no") If Incorrect, in what line is the FIRST error? (Write 1, 2, .. or 11. If the solution is correct, write "none".)

Find the derivative of the function. PLEASE HELP ME ANSWER WITH SOLUTIONS     sOL 8, 10