What is the derivative of x - 3?

Understand the Problem

The question is asking for the derivative of the function f(x) = x - 3 with respect to x. This will involve applying the basic rules of differentiation.

Answer

1
Answer for screen readers

The final answer is 1

Steps to Solve

  1. Apply the power rule for differentiation

The power rule states that for any function $f(x) = x^n$, the derivative $f'(x) = nx^{n-1}$. For $x^{-1}$.

$$\text{d}(x) / \text{d}x = 1$$

  1. Differentiate the constant term

The derivative of any constant is 0.

$$\text{d}(-3) / \text{d}x = 0$$

  1. Combine results

The derivative of $f(x) = x - 3$ is then:

$$f'(x) = 1 + 0 = 1$$

The final answer is 1

More Information

The slope of the function $f(x) = x - 3$ is constant, and equal to 1

Tips

A common mistake when finding derivatives is forgetting to apply the rule that the derivative of a constant is always zero.

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