Question: here is my question: Let f be defined by the following. f ( x ) =2 x 2if x < 37 x if x 3

here is my question:

Letfbe defined by the following.

f(x) =2x2ifx< 37xifx3

(a)

Isfcontinuous atx= 3?

Yes

No

b)

Find the right-hand and the left-hand derivatives offatx= 3.

f'(3) =

f'(3+) =

(c)

Isfdifferentiable atx= 3?

Yes

No

and:

Letf(x) =x2/3+9.

(a)

Isfcontinuous atx= 0?

Yes

No

(b)

Isfdifferentiable atx= 0?

Yes

No

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