1.If f(x)={ex2+x3+1,x>0ax2+bx+2,x≤0f(x)=\begin{cases} e^{x^2}+x^3+1, & x>0 \\ ax^2+bx+2, & x\leq 0 \end{cases}f(x)={ex2+x3+1,ax2+bx+2,x>0x≤0 is differentiable at x=0x=0x=0, thena.a∈Ra\in\mathbb{R}a∈R and b=0b=0b=0b.a∈Ra\in\mathbb{R}a∈R and b=1b=1b=1c.a∈Ra\in\mathbb{R}a∈R and b=2b=2b=2d.a∈Ra\in\mathbb{R}a∈R and b=3b=3b=3Login to continueOnly logged in users canattempt or see the solution.