Consider the curve with equation .

MATHEMATICS · Multi-part · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

Consider the curve with equation

f(x) = 2x^3

. (1) Find the equation of the tangent line to the curve at

x=1

. (2) Find in terms of

a

the equation of the tangent line to the curve at

x=a

. (3) Hence, find the equation of the tangent line passing through the point

A(0,4)