Lets calculate derivative of

That is:

Comparing that with offered answer we can see that results match.
Answer:
(n + 4)(n+ 22)
Step-by-step explanation:
One way to determine which factored expression is accurate is by asking the question: "Which two numbers multiply to 88, but add to 26?" If you are having difficulty using this method, you can always try the guess-and-check method with a multiple choice question. This way involves multiplying the terms inside one set of parentheses with the terms inside the other set of parentheses.
Step #1: Multiply the first terms
(n + 4)(n + 22) ----> n x n = n²
Step #2: Multiply the inside terms
(n + 4)(n + 22) -----> 4 x n = 4n
Step #3: Multiply the outside terms
(n + 4)(n + 22) -----> n x 22 = 22n
Step #4: Multiply the last terms
(n + 4)(n + 22) -----> 4 x 22 = 88
Step #5: Write the new expanded equation and simplify
(n + 4)(n + 22) -----> n² + 4n + 22n + 88 -----> n² + 26n + 88
Answer:

Step-by-step explanation:
Given


Required
Determine an equation that perpendicular to the equation
An equation has the form:

Where

By comparison:

Next, we determine the slope of the new line.
When two lines are perpendicular, the following relation exist:

Substitute 1/5 for m1


The equation of the line is then calculated using:

Where:
and 
This gives:


