10. Let \( f \) be the function defined by \( f(x) = \begin{cases} mx^2 - 2 & \text{if } x \leq 1 \\ k\sqrt{x} & \text{if } x > 1 \end{cases} \). If \( f \) is differentiable at \( x = 1 \), what are the values of \( k \) and \( m \)?






Answer is: option1

\( m = \frac{-2}{3}, \; k = \frac{-8}{3} \)

Solution:

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