Can I change the step size?
The calculator internally uses a very small step (1e-5) suitable for most smooth functions. Rescale inputs if cancellation becomes an issue.
Step-by-step walkthrough
Derivative Calculator Guide
Use this companion guide beside the interactive calculator to make sure you understand the “why” behind every click. Each section includes the classroom explanation, student-friendly language, and quick practice prompts.
Before you start
Collect the data points listed below and double-check their units. Keeping an organized “givens” list is one of the fastest ways to reduce math errors and impress exam graders.
- derivative
- differentiation
- slope
Detailed procedure
Step 1
Enter the function f(x) you want to differentiate.
Step 2
Provide the evaluation point x₀ and select the derivative order (1st–4th).
Step 3
Review the resulting derivative value and slope approximation.
Teaching & troubleshooting tips
Does it return symbolic derivatives?
No—the result is numeric, which keeps the interface fast and flexible for arbitrary expressions.