All Calculus 2 Resources
Example Questions
Example Question #171 : Derivative Review
What is the slope of at the point ?
None of the above
We define slope as the first derivative of a given function.
Since we have , we can use the Power Rule
for all
to determine that
.
We also have a point with a -coordinate , so the slope
.
Example Question #172 : Derivative Review
What is the slope of at the point ?
None of the above
We define slope as the first derivative of a given function.
Since we have , we can use the Power Rule
for all
to determine that
.
We also have a point with a -coordinate , so the slope
.
Example Question #173 : 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:
- 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 #174 : 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:
- 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 #1302 : 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 #1304 : 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:
Then, plug in the value of x and evaluate.
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