Question

f(x)=(x-3)^2/3, 1<=x<=4 is differenciable or not.

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Answer 1

Answer:

It is not

Step-by-step explanation:

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Answer 2

Answer:

IT IS NOT DIFFERENCIABLE

Step-by-step explanation:

We can rewrite f(x) as,

f(x) = x-3 for x ≥ 3 = 3-x for x < 3

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LHL

f f(x) at x=3 is 0. RHL of f(x) at x=3 is 0. So, f(x) is continuous at x=3.

RHD of f(x) at x-3, limh-of (3+h)-3-(3-3)} = 3+h-3

1

LHD of f(x) at x=3 ,limh-of 3-(3-h)-(3-3), }= 3-h-3

-1

So, f(x) is not differentiable at x=3.

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