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Let f(x)=a+b|x|+c|x|^4 , where a , ba n ...

Let `f(x)=a+b|x|+c|x|^4` , where `a , ba n dc` are real constants. Then, `f(x)` is differentiable at `x=0,` if `a=0` (b) `b=0` (c) `c=0` (d) none of these

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Given,
`f(x)=a+b∣x∣+c∣x∣^4`
Thus,`f(x)=a+bx+cx^4 if x>=0`
and `f(x)=a−bx+cx^4 if x<0`
RHD=`f′(x)=-b+4cx^3, x>=0 `
and `LHD=f′(x)=−b+4cx^3 ,x<0 ...
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