Question

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

Answer 1

Answer:

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

Step-by-step explanation:

a)

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

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b)

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.