The derivative of the function \( f(x) = x - 2 \) with respect to \( x \) is:

\[
f'(x) = 1
\]

This is because the derivative of \( x \) with respect to \( x \) is \( 1 \), and the derivative of a constant \( -2 \) is \( 0 \).

So, the result is:

\[
\frac{d}{dx}(x - 2) = 1
\]

Would you like more details on this or have any further questions?

### Related Questions
1. What is the derivative of a constant function?
2. How do we find the derivative of a polynomial?
3. What are the rules for finding derivatives of sums and differences?
4. What is the derivative of \( x^2 - 2x + 3 \)?
5. How do we interpret the derivative geometrically?

**Tip:** The derivative of a constant term is always zero, so constants disappear when taking derivatives.

Discover the derivative of the function x - 2, which is a fundamental concept in calculus. This solution demonstrates that the derivative is 1, highlighting key differentiation rules and the properties of linear functions. Ideal for students in Grades 10-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation