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If f(x)=|x|^3, show that f''(x)exists fo...

If `f(x)=|x|^3`, show that `f''(x)`exists for all real x and find it.

Text Solution

Verified by Experts

Given, `f(x)=∣x∣^3`
This function can be modified and written as
`f(x)={(x^3, if, x>=0),((-x)^3, if, x<0):}`
For case: when x>0
`f ′ (x)=3x^ ...
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