Consider the polynomial function

MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

g(x)=x^{3}-6x^{2}+9x+4

. (i) Find

g'(x)

. (ii) Determine all real values of

x

for which the tangent to the curve

y=g(x)

is parallel to the line

y=3x+7

. (iii) For each value of

x

obtained in part (ii), write the corresponding equation of the tangent line.