Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Differential Equations

Question:

If $f(x)=\left\{\begin{matrix}ax^2+b, & x<-1\\bx^2+ax+4, & x≥-1\end{matrix}\right.$ is everywhere differentiable, then :

Options:

$a=2, b=3$

$a=3, b=2$

$a=-2, b=3 $

$a=2, b=-3$

Correct Answer:

$a=2, b=3$