key term - Derivative

Definition

A derivative represents the rate at which a function is changing at any given point. It measures how sensitive one quantity is to small changes in another quantity.

Related terms

Tangent Line:

A tangent line represents a straight line that touches a curve at only one point, sharing its slope with that point.

Chain Rule:

The chain rule allows us to find derivatives of composite functions by breaking them down into simpler functions and applying differentiation rules.

Implicit Differentiation:

Implicit differentiation is used when we have equations where y cannot be easily expressed explicitly as a function of x.