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The derivative of f(x) = √x with respect to x is:
A1 / √x
B1 / (2 √x)
C2 / √x
D√x / 2
Answer & Solution
Correct answer: B. 1 / (2 √x)
1. √x = x^(1/2). Apply power rule: d/dx [x^(1/2)] = (1/2) x^(−1/2).
2. = 1 / (2 √x).
3. Valid for x > 0.
_Source: NCERT Class 11 Maths Ch 13 §13.4 Power Rule (Fractional)_
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