If f(x) = x², then f′(x) is:
Ax
B2x
Cx²
D2x²
Answer & Solution
Correct answer: B. 2x
1. Power rule: d/dx (xⁿ) = n xⁿ⁻¹.
2. For n = 2: d/dx (x²) = 2 x.
_Source: syllabus Maths Ch 13 §13.4 Derivative — Power Rule_
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: