Question
If f(x) = |x|, then f’(x), where x ≠ 0 is equal to
Answer: Option D
:
D
∵f(x)={x,x≥0−x,x<0∵f′(x)=⎧⎨⎩1,x>0,i.e,|x|x,x>0−1,x>0,i.e,|x|x,x>0=|x|x,x≠0
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:
D
∵f(x)={x,x≥0−x,x<0∵f′(x)=⎧⎨⎩1,x>0,i.e,|x|x,x>0−1,x>0,i.e,|x|x,x>0=|x|x,x≠0
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