JEE MATHEMATICS MCQ: DIFFERENTIATION

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Analyzing +4 | -1

f\left( x \right) = a\left| {\sin x} \right| + b{e^{\left| x \right|}} + c{\left| x \right|^3}

and if

f\left( x \right)

is differentiable at

x = 0

, then

View answer and explanation

Correct option: B

a = 0,b = 0;c \in R

Option B (

a = 0,b = 0;c \in R

) is correct because for

f(x)

to be differentiable at

x=0

, the coefficients of non-differentiable terms must be zero.

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