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Example Questions
Example Question #61 : Derivatives
Calculate the derivative of at the point
.
There are 2 steps to solving this problem.
First, take the derivative of
Then, replace the value of x with the given point and evaluate
For example, if , then we are looking for the value of
, or the derivative of
at
.
Calculate
Derivative rules that will be needed here:
- Derivative of a constant is 0. For example,
- Taking a derivative on a term, or using the power rule, can be done by doing the following:
Then, plug in the value of x and evaluate
Example Question #1292 : Calculus Ii
Calculate the derivative of at the point
.
There are 2 steps to solving this problem.
First, take the derivative of
Then, replace the value of x with the given point and evaluate
For example, if , then we are looking for the value of
, or the derivative of
at
.
Calculate
Derivative rules that will be needed here:
- Derivative of a constant is 0. For example,
- Taking a derivative on a term, or using the power rule, can be done by doing the following:
Then, plug in the value of x and evaluate
Example Question #91 : Derivative At A Point
Calculate the derivative of at the point
.
There are 2 steps to solving this problem.
First, take the derivative of
Then, replace the value of x with the given point and evaluate
For example, if , then we are looking for the value of
, or the derivative of
at
.
Calculate
Derivative rules that will be needed here:
- Derivative of a constant is 0. For example,
- Taking a derivative on a term, or using the power rule, can be done by doing the following:
Then, plug in the value of x and evaluate
Example Question #1301 : Calculus Ii
Calculate the derivative of at the point
.
There are 2 steps to solving this problem.
First, take the derivative of
Then, replace the value of x with the given point and evaluate
For example, if , then we are looking for the value of
, or the derivative of
at
.
Derivative rules that will be needed here:
- Derivative of a constant is 0. For example,
- Taking a derivative on a term, or using the power rule, can be done by doing the following:
- Special rule when differentiating an exponential function:
, where k is a constant.
Calculate .
Then, plug in the value of x and evaluate.
Example Question #1301 : Calculus Ii
Calculate the derivative of at the point
.
There are 2 steps to solving this problem.
First, take the derivative of
Then, replace the value of x with the given point and evaluate
For example, if , then we are looking for the value of
, or the derivative of
at
.
Derivative rules that will be needed here:
- When differentiating an exponential function:
, where k is a constant.
Calculate .
Then, plug in the value of x and evaluate.
Example Question #1301 : Calculus Ii
Calculate the derivative of at the point
.
There are 2 steps to solving this problem.
First, take the derivative of
Then, replace the value of x with the given point and evaluate
For example, if , then we are looking for the value of
, or the derivative of
at
.
Calculate .
Derivative rules that will be needed here:
- When differentiating an exponential function:
, where k is a constant.
Then, plug in the value of x and evaluate.
Example Question #1303 : Calculus Ii
Calculate the derivative of +x at the point
.
There are 2 steps to solving this problem.
First, take the derivative of
Then, replace the value of x with the given point and evaluate
For example, if , then we are looking for the value of
, or the derivative of
at
.
Calculate
Derivative rules that will be needed here:
- Taking a derivative on a term, or using the power rule, can be done by doing the following:
- Special rule when differentiating an exponential function:
, where k is a constant.
Then, plug in the value of x and evaluate.
Example Question #91 : Derivative At A Point
Calculate the derivative of at the point
.
There are 2 steps to solving this problem.
First, take the derivative of
Then, replace the value of x with the given point and evaluate
For example, if , then we are looking for the value of
, or the derivative of
at
.
Calculate
Derivative rules that will be needed here:
Then, plug in the value of x and evaluate.
Example Question #181 : Derivative Review
Calculate the derivative of at the point
.
There are 2 steps to solving this problem.
First, take the derivative of .
Then, replace the value of x with the given point and evaluate.
For example, if , then we are looking for the value of
, or the derivative of
at
.
Calculate .
Derivative rules that will be needed here:
Then, plug in the value of x and evaluate.
Example Question #181 : Derivative Review
Calculate the derivative of at the point
.
There are 2 steps to solving this problem.
First, take the derivative of .
Then, replace the value of x with the given point and evaluate.
For example, if , then we are looking for the value of
, or the derivative of
at
.
Calculate
Derivative rules that will be needed here:
Then, plug in the value of x and evaluate.
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