Let . The point lies on the graph of…

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

Problem

Let

f(x)=3x^{4}-2x^{2}+5

. The point

A(1,f(1))

lies on the graph of

f

. (a) Determine

f'(1)

. (b) Using your result from part (a), write the equation of the tangent line to the graph of

f

A

in point–slope form. (c) Write the equation of the line normal to the graph of

f

A

. Express your final answer in slope–intercept form.