Written by the Fiveable Content Team • Last updated September 2025
Verified for the 2026 exam
Verified for the 2026 exam•Written by the Fiveable Content Team • Last updated September 2025
Definition
A negative derivative refers to the rate at which a function is decreasing at a specific point on its graph. It indicates that as the independent variable increases, the dependent variable is decreasing.
A function is increasing if its derivative is positive at every point. It means that as the independent variable increases, the dependent variable also increases.
Zero Derivative: When a function has a zero derivative at a specific point, it means that there is no change in the function's value at that point. The curve appears flat or horizontal.
A function is decreasing if its derivative is negative at every point. This means that as the independent variable increases, the dependent variable decreases.