What is the Derivative Calculator?
Type a function and get its derivative instantly, simplified. You can differentiate with respect to x (or another variable), find second and third derivatives, and evaluate the derivative at a point to get the slope of the tangent line – with the tangent equation. Powered by the math.js symbolic engine.
How to use the Derivative Calculator
- Enter the function, e.g. x^3 + 2x^2 - sin(x).
- Choose the order (1st, 2nd, 3rd) and variable.
- Optionally enter a point to get the slope and tangent line.
Common rules
- Power rule: d/dx xⁿ = n·xⁿ⁻¹
- d/dx sin x = cos x, d/dx cos x = −sin x
- d/dx eˣ = eˣ, d/dx ln x = 1/x
- Product rule: (uv)′ = u′v + uv′
- Chain rule: f(g(x))′ = f′(g(x))·g′(x)
This Derivative Calculator is 100% free, needs no signup and runs privately in your browser – on phone, tablet or computer.
Last updated: · By NodifyTech