Consider the piecewise function h(x)= cases 3x+b, & x 1

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Consider the piecewise function

h(x)=\begin{cases} 3x+b, & x\le 1,\\ ax^{2}, & x>1. \end{cases}

Find the values of

a

and

b

that make

h

differentiable at

x=1

.

Related theory

Browse the problem library