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Limits Continuity and Differentiability question

2015 · Shift 0 · Q23

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PYQ Library
JEE Main
Mathematics
Limits Continuity and Differentiability
2015 · Shift 0 · Q23

Limits Continuity and Differentiability question

2015 · Shift 0 · Q23

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

If the function.

g\left( x \right) = \left\{ {\begin{matrix} {k\sqrt {x + 1} ,} & {0 \le x \le 3} \\ {m\,x + 2,} & {3 \lt x \le 5} \\ \end{matrix} } \right.

is differentiable, then the value of

k+m

is :

A
${{10} \over 3}$
B
$4$
C
$2$
D
${{16} \over 5}$

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