Velocity of a particle can be found by taking the derivative of the position function with respect to time. Recall that a derivative gives the rate of change of some parameter, relative to the change of some other variable. When we take the derivative of position with respect to time, we are evaluating how position changes over time; i.e velocity!

To take the derivative of the position function

We'll need to make use of the following derivative rule(s):

Trigonometric derivative: 

Note that u may represent large functions, and not just individual variables!

Using the above properties, the velocity function is

At time 

Velocity of a particle can be found by taking the derivative of the position function with respect to time. Recall that a derivative gives the rate of change of some parameter, relative to the change of some other variable. When we take the derivative of position with respect to time, we are evaluating how position changes over time; i.e velocity!

To take the derivative of the position function

We'll need to make use of the following derivative rule(s):

Derivative of an exponential: 

Trigonometric derivative: 

Note that u and v may represent large functions, and not just individual variables!

Using the above properties, the velocity function is

At time 

Velocity of a particle can be found by taking the derivative of the position function with respect to time. Recall that a derivative gives the rate of change of some parameter, relative to the change of some other variable. When we take the derivative of position with respect to time, we are evaluating how position changes over time; i.e velocity!

To take the derivative of the position function

We'll need to make use of the following derivative rule(s):

Derivative of an exponential: 

Trigonometric derivative: 

Note that u and v may represent large functions, and not just individual variables!

Using the above properties, the velocity function is

At time 

Velocity of a particle can be found by taking the derivative of the position function with respect to time. Recall that a derivative gives the rate of change of some parameter, relative to the change of some other variable. When we take the derivative of position with respect to time, we are evaluating how position changes over time; i.e velocity!

To take the derivative of the position function

We'll need to make use of the following derivative rule(s):

Derivative of an exponential: 

Trigonometric derivative: 

Note that u may represent large functions, and not just individual variables!

Using the above properties, the velocity function is

At time 

Velocity of a particle can be found by taking the derivative of the position function with respect to time. Recall that a derivative gives the rate of change of some parameter, relative to the change of some other variable. When we take the derivative of position with respect to time, we are evaluating how position changes over time; i.e velocity!

To take the derivative of the position function

We'll need to make use of the following derivative rule(s):

Derivative of an exponential: 

Trigonometric derivative: 

Note that u may represent large functions, and not just individual variables!

Using the above properties, the velocity function is

At time 

Velocity of a particle can be found by taking the derivative of the position function with respect to time. Recall that a derivative gives the rate of change of some parameter, relative to the change of some other variable. When we take the derivative of position with respect to time, we are evaluating how position changes over time; i.e velocity!

To take the derivative of the position function

We'll need to make use of the following derivative rule(s):

Derivative of a natural log: 

Trigonometric derivative: 

Note that u may represent large functions, and not just individual variables!

Using the above properties, the velocity function is

At time 

Velocity of a particle can be found by taking the derivative of the position function with respect to time. Recall that a derivative gives the rate of change of some parameter, relative to the change of some other variable. When we take the derivative of position with respect to time, we are evaluating how position changes over time; i.e velocity!

To take the derivative of the position function

We'll need to make use of the following derivative rule(s):

Derivative of a natural log: 

Trigonometric derivative: 

Note that u may represent large functions, and not just individual variables!

Using the above properties, the velocity function is

At time :

Velocity of a particle can be found by taking the derivative of the position function with respect to time. Recall that a derivative gives the rate of change of some parameter, relative to the change of some other variable. When we take the derivative of position with respect to time, we are evaluating how position changes over time; i.e velocity!

To take the derivative of the position function

We'll need to make use of the following derivative rule(s):

Derivative of a natural log: 

Trigonometric derivative: 

Note that u may represent large functions, and not just individual variables!

Using the above properties, the velocity function is

At time 

Velocity of a particle can be found by taking the derivative of the position function with respect to time. Recall that a derivative gives the rate of change of some parameter, relative to the change of some other variable. When we take the derivative of position with respect to time, we are evaluating how position changes over time; i.e velocity!

To take the derivative of the position function

We'll need to make use of the following derivative rule(s):

Derivative of an exponential: 

Trigonometric derivative: 

Note that u may represent large functions, and not just individual variables!

Using the above properties, the velocity function is:

At time 

Velocity of a particle can be found by taking the derivative of the position function with respect to time. Recall that a derivative gives the rate of change of some parameter, relative to the change of some other variable. When we take the derivative of position with respect to time, we are evaluating how position changes over time; i.e velocity!

To take the derivative of the position function

We'll need to make use of the following derivative rule(s):

Derivative of an exponential: 

Derivative of a natural log: 

Product rule: 

Note that u and v may represent large functions, and not just individual variables!

Using the above properties, the velocity function is

At time