Consider the function f(x)=e^ x^ 2 + (3x-1)

MATHEMATICS · Multi-part · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Consider the function

f(x)=e^{x^{2}}+ \ln(3x-1), \qquad x>\frac{1}{3}.

Answer the following questions. (a) Part 1: (i) Find

f'(x)

. (b) Part 2: (ii) Determine the slope of the tangent to the curve at

x=2

. (c) Part 3: (iii) Hence obtain the equation of the tangent line to the curve at

x=2

. Express your answer in the form

y=mx+c