Consider the function .

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

Problem

Consider the function

h(x)=(x^{2}+1)e^{3x}

. (a) Find

h''(0)

. Present your answer exactly. (b) Using the result from part (a), provide a decimal approximation of

h''(0)

rounded to three decimal places.