All High School Math Resources
Example Questions
Example Question #1 : Finding Derivative Of A Function
What is the first derivative of
?
To find the first derivative for this problem, we can use the power rule. The power rule states that we lower the exponent of each of the variables by one and multiply by that original exponent.
Remember that anything to the zero power is one.
Example Question #2 : Finding Derivative Of A Function
This problem is best solved by using the power rule. For each variable, multiply by the exponent and reduce the exponent by one:
Treat
as since anything to the zero power is one.Remember, anything times zero is zero.
Example Question #2095 : High School Math
Give the average rate of change of the function
on the interval .
The average rate of change of
on interval is
Substitute:
Example Question #4 : Finding Derivatives
What is the derivative of
?
To solve this problem, we can use the power rule. That means we lower the exponent of the variable by one and multiply the variable by that original exponent.
Remember that anything to the zero power is one.
Example Question #2101 : High School Math
What is the derivative of
?
To solve this problem, we can use the power rule. That means we lower the exponent of the variable by one and multiply the variable by that original exponent.
We're going to treat
as , as anything to the zero power is one.That means this problem will look like this:
Notice that
, as anything times zero is zero.
Remember, anything to the zero power is one.
Example Question #3 : Finding Derivative Of A Function
What is the derivative of
?
To solve this problem, we can use the power rule. That means we lower the exponent of the variable by one and multiply the variable by that original exponent.
We're going to treat
as , as anything to the zero power is one.
Notice that
, as anything times zero is zero.
Example Question #2102 : High School Math
What is the derivative of
?
To get
, we can use the power rule.Since the exponent of the
is , as , we lower the exponent by one and then multiply the coefficient by that original exponent:
Anything to the
power is .
Example Question #2103 : High School Math
To solve this equation, we can use the power rule. To use the power rule, we lower the exponent on the variable and multiply by that exponent.
We're going to treat
as since anything to the zero power is one.
Notice that
since anything times zero is zero.
Example Question #2104 : High School Math
What is the derivative of
?
To solve this equation, we can use the power rule. To use the power rule, we lower the exponent on the variable and multiply by that exponent.
We're going to treat
as since anything to the zero power is one.
Notice that
since anything times zero is zero.That leaves us with
.Simplify.
As stated earlier, anything to the zero power is one, leaving us with:
Example Question #2105 : High School Math
What is the derivative of
?
To solve this equation, we can use the power rule. To use the power rule, we lower the exponent on the variable and multiply by that exponent.
We're going to treat
as since anything to the zero power is one.
Notice that
since anything times zero is zero.
Just like it was mentioned earlier, anything to the zero power is one.