Let . A tangent to the graph of is drawn at the point where…

MATHEMATICS · Multi-part · A Level · Mathematics · Differentiation · Differentiation

Problem

Let

g(x)=x^{3}-4x+6

. A tangent to the graph of

g

is drawn at the point where

x=-1

. (a) Evaluate

g(-1)

. (b) Compute

g'(-1)

. (c) Formulate the equation of the tangent line at

x=-1

in slope–intercept form. (d) Determine the

y

–intercept of this tangent line.