please how i have exam coming?

Question

Determine the derivative of f(x) = x^2 In x^2

Answer 1

I'll lead you in the most important part, but it is up to you to complete it.

Derivative of x . y = x'.y + x.y'

Then, you will have:

f'(x) = (2x . ln x^2) + x^2 (ln x^2)'

Continue from here, the only problem that you may have is finding the derivative of ln y , which you can see in the link below.

Answer 2

Remember the product rule for derivatives: (first times the derivative of the second) + (second times thederivative of the first). I say it, "first derivative of the second plus the second derivative of the first). Say it over and over until its second nature (that's what my math teacher had the class do).

Another key point to this problem is the derivative of ln x, which is (1/x). For example, what's the derivative of ln(x^2)? (This is important for the problem):

y = ln (x^2) (sample equation)

y' = [1/(x^2)](2x) (In words, the derivative of our sample equation is one over the argument times the derivative of the argument. In this case, the argument is (x^2) and the derivative of it is 2x)

y = 2/x (simplified - canceling an "x" from the top and bottom)

Now you have all the pieces to solve the problem.

Good luck!

Answer 3

BEFORE YOU ANSWER THIS SILLY LITTLE GIRLS QUESTION MAYBE YOU SHOULD READ HER REPLY TO ME WHERE I ASKED HER WHY SHE CHEATED:
Message: Do you really think i do not check who gives me the wrong answers. I know because when 30 or so people give the same answer and show their work. I know the answer is right because i look at their work step by step and see what makes more sense. So far i have been getting 100% on my take home quiz. As long as i pass i don't give a ****. In case you come from planet Mars..let me officially welcome you to earth, where most people who are sitting on top of the world cheat. Most successes are not honest. On earth my dear especially this day and age even the leaders of the world lie and cheat. what do you expect me to do? I will keep on doing it for that grade A.

Note: i also cheat on exams because the guy who sits next to me gives me answers. So far my average is 98%. Keep up with your honesty in everything you do and see how far it takes you.

There is not One successful person in the world who has not cheated, no matter what they say. Honesty is just a word game. Those who practice it are always second best in everything. survival kit-- try to lie or cheat you will love the benefits of it.

Answer 4

Using the product rule:

2x*ln(x^2) + 1/(x^2)*(2x)*(x^2)

= 2x*ln(x^2) + 2x

OR 2x[ln(x^2) + 1]

Answer 5

Use product rule for differentiation.