Alt Alt Problem 4. Solve for dx dy given sin(y) = ety + sec2 (x) . Problem 5. Find the second derivative of cot(x). Problem 6. If f(2) = 4, 9(2) = 1, f'(2) = -1, g'(2) = -2, find h'(2) where h(x) = f(19(x)). Problem 7. For what values of t is h(t) = Vt - 2 NOT differentiable? Problem 8. Use logarithmic differentiation to find the derivative of ( + 5) tan?(x) $/x2 + 5x Problem 9. As a little girl is riding her bike home and bringing her balloon along with her, she accidentally lets go of the balloon at it starts to float straight up at 3 ft/sec. The little girl continues riding her bike at about 8 ft/sec in a straight line. When she is 30 ft past where she released the balloon, how fast is the distance between them changing? 2