### Home > CALC > Chapter 9 > Lesson 9.3.1 > Problem9-84

9-84.

Find values for $k$ and m so that $f(x)$, given below, is differentiable for all $x$.

$f ( x ) = \left\{ \begin{array} { l l } { k x ^ { 2 } - 3 x + 2 } & { \text { for } x < 2 } \\ { 5 x + m } & { \text { for } x \geq 2 } \end{array} \right.$

$kx^2-3x+2=5x+m\text{ when }x=2$