All High School Math Resources
Example Question #1 : General Derivatives And Rules
Find if the function is given by
To find the derivative at , we first take the derivative of . By the derivative rule for logarithms,
Plugging in , we get
Example Question #1 : Finding Derivative At A Point
Find the derivative of the following function at the point .
Use the power rule on each term of the polynomial to get the derivative,
Now we plug in
Example Question #3 : General Derivatives And Rules
Let . What is ?
We need to find the first derivative of f(x). This will require us to apply both the Product and Chain Rules. When we apply the Product Rule, we obtain:
In order to find the derivative of , we will need to employ the Chain Rule.
We can factor out a 2x to make this a little nicer to look at.
Now we must evaluate the derivative when x = .
The answer is .