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Derivative Practice Generator

Generates random practice problems for differentiating simple power terms, with a worked solution for each.

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Result

Problem

Differentiate: 7x^2

Answer

14x^1

Worked solution

d/dx(7x^2) = 7×2 · x^1 = 14x^1

Notes

  • · Change the problem number to generate a new random problem.
  • · Try to solve it yourself before checking the worked solution.

Derivative Practice Generator — How It Works

Derivative Practice Generator — How It Works

Practicing the same type of problem repeatedly is one of the best ways to build fluency. The Derivative Practice Generator generates a fresh random problem for differentiating a simple power term, with a worked solution so you can check your work. Try the Derivative Practice Generator — instant results, no sign-up.

How it works

  1. The tool generates a problem based on a “problem number” — change the number to get a new (but reproducible) problem.
  2. Try to solve the problem yourself.
  3. Reveal the answer and worked solution to check your work.

The underlying formula

d/dx(axⁿ) = a·n·xⁿ⁻¹

Tips

  • Work through several problem numbers in a row for repeated practice.
  • If you get a problem wrong, re-read the worked solution step by step before moving to the next one.
  • This tool is a starting point — for harder problems, try larger numbers or combine it with other practice generators in Math & Education.

FAQ

Is this free?

Yes — the Derivative Practice Generator runs entirely in your browser, no sign-up required.

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