# High School Math : Finding Derivative at a Point

## Example Questions

### Example Question #1 : Finding Derivative At A Point

Find if the function is given by       Explanation:

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 .       Explanation:

Use the power rule on each term of the polynomial to get the derivative, Now we plug in  ### Example Question #671 : Derivatives

Let . What is ?      Explanation:

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 .

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