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Example Questions
Example Question #1 : Multivariable Calculus
Find .
In order to find , we need to take the derivative of
in respect to
, and treat
, and
as constants. We also need to remember what the derivatives of natural log, exponential functions and power functions are for single variables.
Natural Log:
Exponential Functions:
Power Functions:
Example Question #2 : Differentiation Rules
Find .
In order to find , we need to take the derivative of
in respect to
, and treat
, and
as constants. We also need to remember what the derivatives of natural log, exponential functions and power functions are for single variables.
Natural Log:
Exponential Functions:
Power Functions:
Example Question #3 : Differentiation Rules
Find .
In order to find , we need to take the derivative of
in respect to
, and treat
, and
as constants. We also need to remember what the derivatives of natural log, exponential functions and power functions are for single variables.
Natural Log:
Exponential Functions:
Power Functions:
Example Question #1 : Arc Length
Determine the length of the curve , on the interval
.
First we need to find the tangent vector, and find its magnitude.
Now we can set up our arc length integral
Example Question #11 : Multivariable Calculus
Determine the length of the curve , on the interval
.
First we need to find the tangent vector, and find its magnitude.
Now we can set up our arc length integral
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