Determine if the following piecewise defined function is differentiable at x = 0.

f(x)=

lim

h→o*

What is the right-hand derivative of the given function?

f(0+h)-f(0)

h

lim

3x-2,

x²+2x-2,

h→0

x20

X<0

What is the left-hand derivative of the given function?

f(0 +h)-f(0)

h

Yes

No

(Type an integer or a simplified fraction.)

(Type an integer or a simplified fraction.)

Is the given function differentiable at x = 0?

Question 4 of 29

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