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Grade 11Differential Calculus

If f(x) = |x-2| + |x-4|, show that f'(3) = 0.
Please solve it.

Profile image of Arjya Dutta
7 Years agoGrade 11
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1 Answer

Profile image of Arun
7 Years ago
Dear student
 
For 2
 
f ( x)  = x -2 + 4 -x = 2
 
Hence
 
f'(x) = 0
 
Hence f'(3) = 0
 
Hope it helps
 
Regards
Arun