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2 years ago

I need help plz, i will give brainliest for the correct answer

Mathematics

1 answer:

DanielleElmas [232]2 years ago

6 0

Answer:

f'(1) exists: f'(1) = -2
f'(0) DNE

Step-by-step explanation:

The function is continuous for x > 0 . The derivative is defined on that interval and is equal to ...

f'(x) = -2x . . . . . for x > 0

Then at x = 1, the derivative is ...

f'(1) = -2(1)

f'(1) = -2

The function has a jump discontinuity at x=0, so the derivative does not exist at that point. A condition for the existence of the derivative is that the function is continuous at the point of interest.

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