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Grade 12Top Engineering Colleges in India

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

Profile image of janakiram
12 Years agoGrade 12
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1 Answer

Profile image of Sher Mohammad
12 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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