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Mathematics · 2023 · 1 mark
CBSE 2023 · Region 3 · Set 1 · Q15
The value of k for which function f ( x )= {x^2, x ≥ 0; kx, x <0} is differentiable at x =0 is:
The value of k for which function $\displaystyle \mathrm{f}(\mathrm{x})=\left\{\begin{array}{ll}\mathrm{x}^{2}, & \mathrm{x} \geq 0 \\ \mathrm{kx}, & \mathrm{x}<0\end{array}\right.$ is differentiable at $\displaystyle \mathrm{x}=0$ is :
Official answer
(D)
$\displaystyle 0$
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CBSE Class 12 Mathematics past-paper question from the 2023 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.