Variable Rule Calculator

Published on: April 20, 2025
Final Answer: Free Full Steps: Plus

This Variable Rule Calculator helps you differentiate the variable x. The variable rule says that the derivative of x with respect to x is 1.

Step-by-step method

  1. Set up the problem.
  2. Write the variable rule formula.
  3. Apply the variable rule.

Formula: This is the variable rule formula.

\(\frac{d}{dx}x = 1\)

The variable rule says the derivative of x with respect to x is 1 because the rate of change of x compared with itself is 1.

Example 1:

\(f\left(x\right) = x\)

Step 1 - Set up the problem.

In this problem: We are given \(x\). This is just the variable \(x\).

\(f\left(x\right) = x\)

Step 2 - Write the variable rule formula.

In this problem: The variable rule says the derivative of \(x\) with respect to \(x\) is \(1\).

\(\frac{d}{dx}x = 1\)

Step 3 - Apply the variable rule.

In this problem: Since the expression is \(x\), its derivative is \(1\).

\(\frac{d}{dx}x = 1\)

Final answer:

\(f'\left(x\right) = 1\)