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$If f (x) = a | \sin x | + b e^{| x |} + c | x |^{3} andif f (x) is differentiableat x = 0,then$

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a=b=c=0

a=b=0,c∈R

b=c=0,a∈R

a=c=0,b∈R.

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detailed solution

Correct option is B

For x≠0,f(x)=x2+x21+x21−11+x2=x2+1Also, f(0)=0.∴f(x) is discontinuous at x=0.

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If f(x)=a|sin⁡x|+be|x|+c|x|3 andif f(x) is differentiableat x=0,then

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$If f (x) = a | \sin x | + b e^{| x |} + c | x |^{3} andif f (x) is differentiableat x = 0,then$