Consider the function $f\left(x\right)=\frac{x^3}{4}-\sin \pi x+3$

Important Questions on Continuity and Differentiability

EASY

WBJEE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 22 - Continuity and Differentiability>WBJEE 2018>Q 1

Let $f\left(x\right)=\left\{\begin{array}{cc}-2\sin x,& \text{ if }x\le -\frac{\pi }{2}\\ A\sin x+B,& \text{ if }-\frac{\pi }{2}<x<\frac{\pi }{2}\\ \cos x,& \text{ if }x\ge \frac{\pi }{2}\end{array}\right.$ Then,

MEDIUM

WBJEE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 22 - Continuity and Differentiability>WBJEE 2019>Q 2

Consider the function $f\left(x\right)=\frac{x^3}{4}-\sin \pi x+3$