Derivative Calculator
Enter a function and get its derivative with the rules used shown step by step. You can also evaluate the derivative at a point. Powers of x, trigonometric, exponential and logarithm functions are supported. The working appears below the answer and is included when you save as PDF or image.
Derivative f′(x)
—
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... |
✉ Email me this result
</> Embed this calculator
Paste this into any website or blog post. It is free — the small "powered by" link must stay visible.
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).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.