Math Problem Statement

what is the derivative of x-2

Solution

The derivative of the function f(x)=x2f(x) = x - 2 with respect to xx is:

f(x)=1f'(x) = 1

This is because the derivative of xx with respect to xx is 11, and the derivative of a constant 2-2 is 00.

So, the result is:

ddx(x2)=1\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 x22x+3x^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.

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Math Problem Analysis

Mathematical Concepts

Calculus
Differentiation
Functions

Formulas

f'(x) = lim (h -> 0) [(f(x+h) - f(x))/h]
Derivative of a constant is 0

Theorems

Power Rule
Derivative of a linear function

Suitable Grade Level

Grades 10-12