Derivative Calculator
Enter the information you have for derivative in the Derivative. The explanation below the tool helps you check the method and its limits.
Derivative f′(x)
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How to type your function
^ | power, e.g. x^2 is x squared |
* | multiply, e.g. 3*x (write the star) |
/ | divide, e.g. 1/x |
sqrt(x) | square root |
sin(x) cos(x) tan(x) | trigonometric functions (radians) |
e^x or exp(x) | exponential |
ln(x) log(x) | natural log, log base 10 |
pi, e | constants 3.14159..., 2.71828... |
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How it works
Common rules: power rule d/dx xⁿ = n·xⁿ⁻¹, product rule (uv)′ = u′v + uv′, quotient rule (u/v)′ = (u′v − uv′)/v², chain rule f(g(x))′ = f′(g(x))·g′(x).How to use the Derivative
Enter the requested values and start with one realistic example. Read the result together with its unit or label, then change one input at a time if you want to compare options.
Review the assumptions on the page and confirm any result that affects money, safety, technical work or another important decision.
Frequently Asked Questions
What can I differentiate?
Polynomials, roots, trigonometric, exponential and logarithm functions, and combinations of them using +, -, *, / and ^.
Does it show the steps?
Yes. It shows the original function, the derivative, a simplified form and the rules that apply, so you can follow the working and include it in a PDF or image.
Are angles in degrees or radians?
Radians, which is standard for calculus. Convert degrees to radians by multiplying by pi/180 if needed.