High School Math : Finding Derivative of a Function
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Example Questions
Example Question #1166 : Ap Calculus Ab
What is the derivative of 
To take the derivative of this equation, we can use the power rule. The power rule says that we lower the exponent of each variable by one and multiply that number by the original exponent.
Simplify.
Remember that anything to the zero power is equal to one.
Example Question #13 : General Derivatives And Rules
What is the derivative of 
To take the derivative of this equation, we can use the power rule. The power rule says that we lower the exponent of each variable by one and multiply that number by the original exponent.
We are going to treat 
Notice that 
Simplify.
As stated before, anything to the zero power is one.
Example Question #14 : General Derivatives And Rules
What is the derivative of 
To find the first derivative, we can use the power rule. We lower the exponent on all the variables by one and multiply by the original variable.
Anything to the zero power is one.
Example Question #15 : General Derivatives And Rules
What is the derivative of 
To find the first derivative, we can use the power rule. We lower the exponent on all the variables by one and multiply by the original variable.
We're going to treat 
For this problem that would look like this:
Notice that 
Example Question #16 : General Derivatives And Rules
What is the derivative of 
To find the first derivative, we can use the power rule. To do that, we lower the exponent on the variables by one and multiply by the original exponent.
We're going to treat 
 "\frac{\mathrm{d} }{\mathrm{d} x}(x^3+2x^2+5)=(3*x^{3-1})+(2*2x^{2-1})+(0*5x^{0-1})")
Notice that 
Example Question #15 : Finding Derivatives
To find the derivative of the problem, we can use the power rule. The power rule says to multiply the coefficient of the variable by the exponent of the variable and then lower the exponent value by one.
To make that work, we're going to treat 
This means that 
Now use the power rule:
Anything times zero is zero.
Example Question #16 : Finding Derivatives
What is the first derivative of 
To find the derivative of 
The power rule states that we multiply each variable by its current exponent and then lower the exponent of each variable by one.
Since 
Anything times zero is zero, so our final term 
Simplify what we have.
Our final solution, then, is 
Example Question #21 : Finding Derivatives
If 
There is no 
For this problem, we can use the power rule. The power rule states that we multiply each variable by its current exponent and then lower that exponent by one.
Simplify.
Anything to the zero power is one, so 
Therefore, 
Example Question #1171 : Ap Calculus Ab
Find the derivative of the following function:
We use the power rule on each term of the function.
The first term
becomes
The second term
becomes
The final term, 7, is a constant, so its derivative is simply zero.
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