A function is defined as follows f(x) {-x+1,-1
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Answer:
f(x) =
⎩
⎪
⎪
⎪
⎨
⎪
⎪
⎪
⎧
−x
x
2
x
3
−x+1
if x<0
if 0≤x≤1
if x>1
Clearly f(x) is continuous ∀x
f'(x) =
⎩
⎪
⎪
⎪
⎨
⎪
⎪
⎪
⎧
−1
2x
3x
2
−1
if x<0
if 0≤x≤1
if x>1
Also f(x) is not differentiable at x=0 and differentiable at x=1
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Step-by-step explanation:
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