Home/
Competitive Exams/
JEE Main & Advanced/
Mathematics/
Differentiability/
Question 360001
JEE Mathematics · Easy

Differentiability: Derivative definition MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

Timer-based practiceDetailed answer reviewMobile-friendly flow
Derivative definitionEasyQuestion 360001

Question

The derivative f'(x) is defined as:
  1. A
    lim(h→0) [f(x+h)−f(x)]/h
    Correct
  2. B
    f(x+h)−f(x)
  3. C
    [f(x+1)−f(x)]/1
  4. D
    lim(h→1) [f(x+h)−f(x)]/h

Correct answer

lim(h→0) [f(x+h)−f(x)]/h

Explanation

First principles definition of the derivative: f'(x) = lim(h→0) [f(x+h)−f(x)]/h, provided this limit exists.

Review Differentiability notesStart timed chapter practice