Derivative Calculator

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Enter function
Variable:
Order:
Ctrl + Enter to differentiate
Full scientific pad
Math signs built in
Input tips
Use ^ for powers: x^3
Use * for multiplication: x^2 * sin(x)
Type e^x for the exponential function
Type in English, Dutch, French or German
Output
Derivative
Result
Rule
1st derivative
d/dx
Example output
Derivative of x³ + 2x
\(\dfrac{d}{dx}(x^3 + 2x) = 3x^2 + 2\)
1
\(\dfrac{d}{dx}(x^3) = 3x^2\)
Power rule: bring down the exponent, reduce by one.
2
\(\dfrac{d}{dx}(2x) = 2\)
Constant multiple rule: derivative of cx is c.
3
\(f'(x) = 3x^2 + 2\)
Add the derivatives of each term.
Step by step solution
0 steps
Graph
f(x) and f′(x)
Rule applied
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Frequently asked questions

Power rule, product rule, quotient rule, chain rule, sum rule, constant rule, and all standard derivatives including sin, cos, tan, e^x, ln, log, and their compositions.
Yes. Use the order selector above the input to choose 1st, 2nd, or 3rd derivative. Each order is computed and shown step by step.
Yes. Phrases like "afgeleide van x^3" (Dutch) or "ableitung von x^3" (German) are recognised and normalised automatically.
Yes. The graph plots f(x) in purple and f′(x) in green so you can see the relationship between the original function and its rate of change.