Let f(a) = |a - 91. Evaluate the following limits. f(z) - f(9) lim x - 9 f (2) - f(9) lim h 2 - 9 Thus the function f(x) is not differentiable at 9. Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have 6 attempts remaining.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-7) ( 20 ) = fi ( f - 1 ( 20 ) ) Find (f-1)'(-6) if f(-2) = -6 and f'(-2) = 2/5. ( f - 1 ) ' ( - 6 ) = Preview My Answers Submit AnswersIf x cos(6y) + ybest = et defines y implicitly as a differentiable function of a then dy Note: Your answer may contain both a and y variables Preview My Answers Submit AnswersFind f' (a) for 8 sec (x) f(x) = 1 5(1 + 3 tan(ac) ) f' (2 ) = Preview My Answers Submit Answers You have attempted this problem 0 times. You have 6 attempts remaining.If f(ze) = 4x2 arctan(7x4), find f'(x). f' (a ) = 1 Preview My Answers Submit Answers You have attempted this problem 1 time. Your overall recorded score is 0%. You have 5 attempts remaining.Find dy for the function y = x 5 cos(r) dx dy dx Preview My Answers Submit Answers You have attempted this problem 0 times. You have 6 attempts remaining.\f(1 point) cos 2 th - 0 The limit lim h-+0 h represents f' (a) for some function f and some number a. Find f(x) and a. f(2) = I a Note: You can earn partial credit on this problem.Let y = tan (VAX2 - 1) dy then = dx Preview My Answers Submit Answers You have attempted this problem 0 times. You have 6 attempts remainingThe tangent line to y = f(x) at (5, 9) passes through the point (4, 1). Compute the following. a.) f (5) = b . ) f' ( 5 ) = Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have 6 attempts remaining.\f