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If f(x)=a|sinx|+be^|x|+c|x|^3 and if f(x...

If `f(x)=a|sinx|+be^|x|+c|x|^3` and if `f(x)` is differentiable at `x=0` then

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We know that `∣sinx∣ and e^∣x∣` are not differentiable at x=0 and ∣x3∣ is differentiable at x=0.
Therefore, for f(x) to be differentiable at x=0, we must have a=0,b=0 and c can be any real number.
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