JEE Main & Advanced
Mathematics
Limits, Continuity and Differentiability
Question Bank
Numerical Value Type Questions - Continuity and Differentiability
question_answer
Find the value of b such that the function
\[f\left( x \right)=\left\{ \begin{matrix}
ax+3, & x\ge 1\text{ }\!\!~\!\!\text{ } \\
{{x}^{2}}+b, & x<1\text{ }\!\!~\!\!\text{ } \\
\end{matrix} \right.\] is continuous and differentiable at\[x=1\].