Derivative Calculator
Calculator
Derivative Calculator
About This Calculator
Use the derivative calculator when you want faster calculations with a clear method behind every result.
Differentiate functions to find rates of change, slopes, and optimization-critical behavior in calculus workflows.
If your workflow expands, pair this calculator with Integral Calculator and Limit Calculator to cross-check assumptions and build a stronger analysis chain.
Formula
If y = f(x), derivative is f'(x) = lim[h->0] (f(x+h)-f(x))/h
Example Calculation
The worked example below demonstrates how the input fields translate into the final output. Use it as a quick validation pass before entering your own numbers.
- function: x^3 - 4x + 1
Explanation of Results
Result Interpretation
The derivative gives instantaneous slope at any x and identifies critical points where slope becomes zero.
FAQ
Why are derivatives useful in optimization?
Setting derivative to zero locates stationary points that can be tested for minima, maxima, or inflection behavior.
Can this handle trigonometric functions?
Yes. Standard derivative rules apply to trig, exponential, and logarithmic terms.
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See Also
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