1.

_ _ , (5 + h 2 25 The limit 153) + represents 1\" (a) for some function f and some number a. Find f('1:) and a. 1%) = 555 a, = E}: n- Let f(ac) = Ja - 10 . Evaluate the following limits. lim f(ac) - f(10) x-10- x - 10 f(ac) - f(10) lim x-10+ x - 10 Thus the function f( ) is not differentiable at 10.The tangent line to y = f(:c) at (8, 3) passes through the point (0, 9). Compute the following. a.) f(-8) = b.) f'(8) = \fIf xety + y' cos(5x ) = ex defines y implicitly as a differentiable function of a then dy dx Note: Your answer may contain both x and y variablesdy Find for the function y = x -5 cos(x) dx dy dxSuppose f is a one-to-one, differentiable function and its inverse function fis also differentiable. One can show, using implicit differentiation (do it!), that 1 ( f-1)' (20 ) = F1( f-1 ( 20 ) ) Find (f-1)'(-6) if f(1) = -6 and f'(1) = 13/11. ( f - 1 )' ( - 6) =