Is the function f (x) = |x^2 - x| differentiable at x = 2. If yes find it’s derivative.
kumar , 12 Years ago
Grade upto college level
Algebra> Is the function f (x) = |x^2 - x| differe...
3 Answers
ruchi yadav
Yes fuction will be differentiable at x =2. which can easily be seen by graph of the function.
First draw the graph of y = x2-x and then take mode.
Derivative will be = 2x-1
at x= 2
Derivative will be 4-1 = 3
Thank You
Ruchi
Askiitians Faculty
Sher Mohammad
yes,
for x>1 f(x)=x^2-x
f'(x)=2x-1
f'(2)=4-1
Sher Mohammad
B.Tech, IIT Delhi
bharat bajaj
Yes, for x>1, the f(x) = x^2 - x
It if a polynomial function. Hence it is differentiable at x=2.
Thanks & Regards
Bharat Bajaj
askIITians Faculty
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