MATHEMATICS · Multi-part · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties
Problem
Consider the polynomial function f(x)=2x4−3x3+5x−1.
(a) Calculate f′(x). Show all steps in your differentiation.
(b) Determine the numerical value of f′(2).
(c) Using your result from part (b), write the equation of the tangent line to the graph of f at x=2 in point–slope form.
(d) Rewrite the equation obtained in part (c) in slope–intercept form.