alleryThe 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: syllabus Maths Ch 13 §13.4 Power Rule (Fractional)_
Keep practising Limits and Derivatives
Browse all Limits and Derivatives questions for AP Intermediate 1st Year, or explore more Mathematics topics.
Related questions
The definition of derivative applies to a function that is:The derivative of a function at a point is defined using a:A limit describes the behaviour of a function:To find a limit at 5, one looks at values of x that are:If the two one sided limits differ, the limit at that point:If the two one sided limits coincide, that common value is the:The value expected from points to the left of a is the:The value expected from points to the right of a is the: