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Mathematics · JEE | LIMITS AND DERIVATIVES

हिन्दी

Find the derivative of \( f(x) = x^2 \) using the first principle.

  1. A
    x
  2. B
    2x
  3. C
    \( x^2 \)
  4. D
    \( 2x^2 \)
View Answer & Solution

Correct answer · Option B

2x

Explanation

Using definition \( \lim_{h \to 0} \frac{(x+h)^2 - x^2}{h} = \lim_{h \to 0} \frac{2xh + h^2}{h} = 2x \).

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