Application of Derivatives

It is a differentiation process of finding the second, third, fourth, and successive derivatives of f(x).

It is the derivative of the first derivative.

This refers to the speed and direction of an object.

It is the shortest distance between two positions and has a direction.

It is the rate of change of velocity per unit time. This refers to how quickly your speed changes every second.

It is the study of motion and is closely related to calculus.

What specific topic in calculus is closely related to physical quantities describing motion (velocity and acceleration)?

This tells us how fast a function is changing over time. This is also known as the function’s velocity.

It is the process of finding a derivative.

It is the slope of a tangent line to a graph of a function at a certain point.