Calculate derivatives of functions
Derivatives are fundamental in calculus for finding rates of change and analyzing function behavior.
Differentiation is the mathematical process of finding the rate at which a function changes at any given point. It is the cornerstone of Calculus I and is widely used in physics, economics, and engineering to optimize functions and model motion. The Solvr Derivative Calculator allows you to compute the derivative of standard and complex functions instantly.
This tool automates the application of standard differentiation rules, saving you time on manual calculations:
Learning calculus often involves checking your work to ensure you applied the rules correctly. By entering your function (f(x)) into the input field, you can verify your manual answers against our high-precision algorithm. Whether you are dealing with first-order derivatives or higher-order problems, this tool serves as a reliable companion for mastering the concepts of limits and differentiation.
Discover other powerful calculators to help you master mathematics.
Common questions about the Derivative Calculator.
A derivative tells you the slope of a curve at a single exact point — how fast something is changing right now. Think of it as the speedometer of math: if the derivative is high the value is growing fast, and if it is zero the value has peaked or bottomed out.
The power rule states d/dx(xⁿ) = nxⁿ⁻¹: multiply by the exponent, then subtract one from it. For example, the derivative of 3x⁴ is 12x³. The derivative of any plain constant is zero.
Use the chain rule whenever one function sits inside another, such as sin(x²) or (3x+1)⁵. It says d/dx f(g(x)) = f'(g(x)) · g'(x) — forgetting the inside derivative is a very common mistake.
Loading favorites...