High School Math : Finding Derivative of a Function
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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 
Remember, anything times zero is zero.
Example Question #1 : Finding Derivatives
Give the average rate of change of the function 
The average rate of change of 
Substitute:
Example Question #1 : Derivative Defined As The Limit Of The Difference Quotient
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 #5 : 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 
That means this problem will look like this:
Notice that 
Remember, anything to the zero power is one.
Example Question #6 : 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 
Notice that 
Example Question #7 : Finding Derivative Of A Function
What is the derivative of 
To get 
Since the exponent of the 
Anything to the 
Example Question #1 : Concept Of The Derivative
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 
 "\frac{\mathrm{d} }{\mathrm{d} x}(6x^2+8)=(2*6x^{2-1})+(0*8x^{0-1})")
Notice that 
Example Question #9 : Finding Derivative Of A Function
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 
Notice that 
That leaves us with 
Simplify.
As stated earlier, anything to the zero power is one, leaving us with:
Example Question #1 : Derivative Defined As The Limit Of The Difference Quotient
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 
 "\frac{\mathrm{d} }{\mathrm{d} x}(12x^2+13x+4)=(2*12x^{2-1})+(1*13x^{1-1})+(0*4x^{0-1})")
Notice that 
Just like it was mentioned earlier, anything to the zero power is one.
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