Consider the function f(x) = x2 x + 1. (a) Simplify the following difference quotient as much as possible f(X+h) - f(X) = h 2 (b) Use your result from (a) and the limit definition of the derivative to calculate =umf(X+h)-f(X) = dx h>0 h 2 (c) Use your answer from part (b) to evaluate the following dx x:2 = Z (d) Use your answer from part (c) to find the equation of the tangent line to the curve at the point (2, f(2)). Y= Z