Answer:
Step-by-step explanation:
The definition of derivative is:
So it asks us not to evaluate the limit part but to simplify the fraction part.
So let's focus on just:
We are given .
So (I just replaced the 's with 's.)
Now since we want to find it a . I'm going to replace my x's with 2:
So instead we will look at:
Let's simplify some of the addition that we can in the denominators of the mini-fractions:
Now division by can be written as multiplication by :
Let's combine the fractions inside the ( ).
I will multiply the first fraction by .
I will multiply the second fraction by .
We are going to do this so we have the same denominator:
Now we have the same denominator inside the ( ) and can combine those fractions:
Let's simplify the numerator in the ( ).
Now you should see a common factor to cancel. That is we have that . So we can write that:
So the answer we are looking for is: