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
The fourth derivative of a function is the derivative of its third derivative. It represents the rate at which the rate of change of the function changes.
Related terms
Third Derivative: The third derivative of a function is the derivative of its second derivative. It represents the rate at which the jerk (or acceleration change) of the function changes.
The second derivative of a function is the derivative of its first derivative. It represents the rate at which the acceleration (or speed change) of the function changes.