3 Question 4 1 pts A student hands in the following work: Problem: Given that F (w) = cos(sin w) nd F' ({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 x . Line 2: Recall that the derivative of y = cos x is y' = sin x and the derivative ofy= Sinx isy' =cosx. Line 3: Using the Product Rule, we get: Line 4: F' (w) = sin(sin w) + cos(cos w) Line 5: To nd F' (%) we need to evaluate F' (w) at w = %. Line 6: F' (E = sin(sin %) + cos(cos %) Line 7: F' (a = sink/if) + cos(Vli) Line 8: Using a calculator to evaluate this, we get: Line 9: F' (g) e 0.6496369391 + 0.7602445971 Line 10: F' (3-) a 0.650 + 0.760 = 0.110 Line 11: So the nal answer (to 3 decimal places) is 0.110 Is the student's work correct? l I (Write "yes" or "no\". If incorrect, in what line is the FIRST error? l(Write 1, 2, or 11. If the solution is correct, write "none". )