Show all work clearly. 1) Given the equation below find - using implicit differentiation. xeBy + 2x = sinh(y2) 2) If y = xcos(x) then dy =? dx Solve using logarithmic differentiation methods. SHOW ALL STEPS 3) A triangle has a constant area of 80 square inches. If the base is increasing at a rate of 2 inches per second then how fast is the height changing when the height is 10 inches? note: A = (1/2) * b * h) 4) Using differentials or a tangent line approximation to f (x) = x* at x=1 estimate 1.014-? 5) F(x) = x3+ 3x2 a) Find the x-intercepts of f(x). b) What are the (x,y) coordinates of the critical points? c) On what open interval(s) is f'(x) > 0? f'(x) 0? f"(x)