If the function. g(x) = \ k√(x + 1), 0 ≤ x ≤ 3 m x + 2, 3 < x ≤ 5. is differentiable, then the value of k+m is:

Limit, Continuity and Differentiability: JEE Main 2015 Mathematics question

JEE Main 2015 · Session, Shift 1 · Q4179

JEE Main 2015Session, Shift 1MathematicsMediumLimit, Continuity and Differentiability420× since 2002

If the function.

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

is differentiable, then the value of

k+m

is :

JEE Main 2015 · Session, Shift 1 · Q4179

JEE Main 2015Session, Shift 1MathematicsMediumLimit, Continuity and Differentiability420× since 2002

If the function.

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

is differentiable, then the value of

k+m

is :