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Is the function f (x) = |x^2-x| differentiable at x = 2. If yes find it’s derivative.

Is the function f (x) = |x^2-x| differentiable at x = 2. If yes find it’s derivative.

Grade:12

1 Answers

Sher Mohammad IIT Delhi
askIITians Faculty 174 Points
7 years ago
|x(x-1)|=x(x-1) if x(x-1)>0 x belongs to (-inf,0) or (1,inf )
|x(x-1)|=x(x-1) x belongs to (0,1 )

for x>1
f'(x)=2x-1
f'(2)=3

Sher Mohammad
B.Tech, IIT Delhi

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