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  • <img alt="\mathrm{Let ~f(x)=|x|~ and ~g(x)=\left|x^3\right|~, then}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7BLet%20%7Ef%28x%29%3D%7Cx%7C%7E%20and%20%7Eg%28x%29%3D%5Cleft%7C

\mathrm{Let ~f(x)=|x|~ and ~g(x)=\left|x^3\right|~, then} 

Option: 1

f(x) and g(x) both are continuous at x=0


Option: 2

f(x) and g(x) both are differentiable at x=0


Option: 3

f(x) is differentiable but g(x) is not differentiable at x=0


Option: 4

f(x) and g(x) both are not differentiable at x=0.


Answers (1)

best_answer

It can easily be seen from the graphs of f(x) and g(x) that both are continuous at x=0. Also f(x) is not differentiable at x=0 whereas g(x) is differentiable at x=0

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mansi

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