\fPS4: Problem 7 (1 point} Use implicit differentiation to find an equation of the tangent line to the curve at the given point. 11:2 + if = i232 + 21:2 3:12, (0,11'2) (cardioid) PS4: Problem 8 Previous Problem Problem List Next Problem (1 point) Suppose f is a one-to-one, differentiable function and its inverse function f- is also differentiable. One can show, using implicit differentiation (do it!), that 1 ( f 1 ) ' ( I ) = Fi ( f 1 ( I ) ) Find (f 1)'(-4) if f(2) = -4 and f' (2) = 13/11. (f- 1 )' (- 4 ) =PS4: Problem 9 Previous Problem Problem List Next Problem (1 point) Apply L'Hopital's Rule to evaluate the following limit. It may be necessary to apply it more than once. In(x) limPS4: Problem 10 Previous Problem Problem List Next Problem (1 point) Evaluate the following limit: 2x + 5 lim T-+00 In(3 + 4ez) ' Enter -I if your answer is -oo, enter I if your answer is oo, and enter DNE if the limit does not exist. Limit =