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I am home schooling my son in Calculus, but I am struggling to learn today's material (Derivatives). My workbook is okay, but not great; I was hoping a good example would help. For the following problem, if you could please include your answer as well as some explanation/steps, I would appreciate it.

The question is:

Using the table below, find where the function is increasing/decreasing and any maximum/minimum values. The information is presented in a table of F'(x) values followed by a "+" or "-".

F'(x) values (accompanied by a + or -, to say whether it is increasing or decreasing at the point):

(-infinity,-10) is given a negative "-" sign

(-10,0) is given a "+"

(0,10) is given a "+"

(10,12) is given a "-"

(12, infinity) is given a '+"

Thanks,

John

In (-inf,-10) decr.

In (-10, 0) incr,

In(0 ,10) incr.

When the derivative is + fn is increasing.

Df. If x1 > x2 and f(x1) > f(x2) the f is incr.

" " " f(x1) < f(x2) f is decr.

Try the rest of the problem yourself. If you get stuck contact me again.

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