Application of Derivatives

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

• Differentiation

• Kinematics

• Higher Order Derivative

• Velocity

It is the derivative of the first derivative.

• Function

• Velocity

• Speed

• Accelaration

This refers to the speed and direction of an object.

• Function

• Velocity

• Distance

• Acceleration

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

• Displacement

• Velocity

• Speed

• Distance

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

• Function

• Velocity

• Speed

• Acceleration

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

• Differentiation

• Kinematics

• Higher Order Derivative

• Derivative

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

• Differentiation

• Kinematics

• Higher Order Derivative

• Derivative

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

• Speed

• Acceleration

• First Derivative

• Second Derivative

It is the process of finding a derivative.

• Differentiation

• Kinematics

• Higher Order Derivative

• Velocity

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

• Differentiation

• Kinematics

• Higher Order Derivative

• Derivative