Let . (i) Find . (ii) Determine the slope of the tangent to the curve at the point…

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

Let

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

. (i) Find

f'(x)

. (ii) Determine the slope of the tangent to the curve

y=f(x)

at the point where

x=2

. (iii) Hence obtain the equations of the tangent and the normal to the curve at that point.