If the function. … is differentiable, then the value of … is :

Option C. Since … is differentiable, -

Limits Continuity and Differentiability

JEE Main 2015 · Session, Shift 1 · Q4179

MathematicsMedium179×since 2002Q4179

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

MathematicsMedium179×since 2002Q4179

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 :