A piecewise function is defined by
f(x)={ax2+bx+1,x≤1lnx+2x,x>1f(x) = \begin{cases} a x^2 + b x + 1, & x \le 1 \\[4pt] \ln x + 2x, & x > 1 \end{cases}f(x)={ax2+bx+1,lnx+2x,x≤1x>1
Find the values of the constants aaa and bbb for which fff is differentiable at x=1x = 1x=1.
Select all that apply.
a=1, b=1a = 1,\ b = 1a=1, b=1
a=2, b=−1a = 2,\ b = -1a=2, b=−1
a=0, b=1a = 0,\ b = 1a=0, b=1
a=−2, b=3a = -2,\ b = 3a=−2, b=3