Home
Class 11
MATHS
Find the derivative of x at x = 1....

Find the derivative of x at `x = 1`.

Text Solution

AI Generated Solution

To find the derivative of the function \( f(x) = x \) at \( x = 1 \) using the first principle of derivatives, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Derivative Definition**: The derivative of a function \( f(x) \) at a point \( x \) is defined as: \[ f'(x) = \lim_{h \to 0} \frac{f(x + h) - f(x)}{h} ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • LIMITS AND DERIVATIVES

    NCERT ENGLISH|Exercise EXERCISE 13.3|8 Videos
  • LIMITS AND DERIVATIVES

    NCERT ENGLISH|Exercise MISCELLANEOUS EXERCISE|30 Videos
  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    NCERT ENGLISH|Exercise EXERCISE 12.1|4 Videos
  • LINEAR INEQUALITIES

    NCERT ENGLISH|Exercise EXERCISE 6.2|10 Videos

Similar Questions

Explore conceptually related problems

Find the derivative of x^2-2 at x = 10 .

Find the derivative of 99x at x = 100 .

Find the derivative of sin x at x = 0 .

Find the derivative of sin x at x=0

Find the derivative of f(x)=x at x=2.

Find the derivative of x^(2)-2 at x=10.

Find the derivative of cos x at x=0.

Find the derivative of f(x) = (x + 1) (cos x)

Find the derivative of f(x) =1/x

Find the derivative of f(x)=x^2