Find the derivative of f (x) = root x
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Answer:
f'(x) = 1/2√x
Step-by-step explanation:
Given: f(x)=√x
take log on both sides
log f(x) = log(x)½
log f(x) = ½ log(x)
Differentiate with respect to x
1/f(x) f'(x) = ½ 1/x
= 1/2x
f'(x) = f(x)/ 2x
= √x/2x
= x½x^-1/2
f'(x) = 1/2√x
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