Our calculator allows you to check your solutions to calculus exercises. It helps you practice by showing you the full working (step by step differentiation).

The derivative is often described as the instantaneous rate of change, the ratio of the instantaneous change in the dependent variable to that of the independent variable. [1] The …

Free Derivative Calculator helps you solve first-order and higher-order derivatives. For trigonometric, logarithmic, exponential, polynomial expressions. Answers, graphs, alternate …

We get a wrong answer if we try to multiply the derivative of cos (x) by the derivative of sin (x) ... ! Instead we use the "Product Rule" as explained on the Derivative Rules page.

Enter the function you want to find the derivative of in the editor. The Derivative Calculator supports solving first, second...., fourth derivatives, as well as implicit differentiation and …

Derivatives Rules Power Rule d dx (xa) = a · xa − 1 Derivative of a constant d dx (a) = 0 Sum Difference Rule (f ± g) ′ = f′ ± g′ Constant Out (a · f) ′ = a · f′ Product Rule (f · g) ′ = f′ · g + f · g′

Nov 16, 2022 · In this section we define the derivative, give various notations for the derivative and work a few problems illustrating how to use the definition of the derivative to actually …

Jul 23, 2025 · Derivative formulas in calculus provide essential tools for finding the rates of change of various functions. These formulas include the power rule, product rule, quotient rule, …

Oct 18, 2025 · Derivative, in mathematics, the rate of change of a function with respect to a variable. Geometrically, the derivative of a function can be interpreted as the slope of the …

Learn how we define the derivative using limits. Learn about a bunch of very useful rules (like the power, product, and quotient rules) that help us find derivatives quickly.