1. Questions

calculus

I have been asked to solve this two different ways. The first way is to use the chain rule and then simplify (which I have already done properly), and the second way is to simplify and then differentiate (not necessarily with the chain rule). I am stuck on how to simplify this question and then how to differentiate it.

Square Root(9x^2) ??

Also I am stuck on how to use the chain rule to differentiate and then simplify this question, as well as the second way where I have to simplify and then differentiate it:

(8x^3)^2/3

I would appreciate if someone would be able to explain these two questions to me, thank you.

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
Nicole

  1. y = [ 9 x^2 ] ^.5 ??

    let z = 9 x^2 then dz/dx = 18 x

    then we have y = z^.5

    dy/dz = .5 z^-.5 = .5/3x

    but chain rule
    dy/dx = dy/dz*dz/dx (.5 /3x)(18 x)
    = 9/3 = 3 at last

    simplify first
    y = (9 x^2)^.5 = 3x
    dy/dx = 3 the end

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
    Damon

  2. (8x^3)^2/3

    I am not going to struggle through that with the chain rule. Go about it the same way as I did upstairs, z = 8 x^3

    simplify method:
    remember (8x^3)^(1/3) = 2x
    (2x)^2 = 4 x^2
    y = 4x^2
    dy/dx = 8 x the end

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
    Damon

Respond to this Question

First Name

Your Response

Similar Questions

  1. math help me

    Solve: 6C3 (1 point) 120 720 20 240 2. Which is not a combination? (1 point) choosing 3 toppings for your pizza lining 3 students up in a row choosing 2 desserts from a tray of 10 choosing 5 students to represent a class of 30 3.

  2. Math

    you own 5 pair of jeans and want to take 2 of them with you on vacation in how many ways can you choose 2 pairs of jeans A.10 ways B.15 ways C.4 ways D.20 ways NEED HELP!! DON'T UNDERSTAND!!

  3. English

    Identify the sentence for questions 16-18 that contains NO errors in punctuation or use of italics. 16. A.) Catherine asked, "Where are you going"? B.) "We're going to volunteer ate the animal shelter," said Dan, "Do you want to

  4. Math

    How many ways can 3 students be chosen from a class of 20 to represent their class at a banquet? (1 point) 6,840 3,420 1,140 2,280 15. You and 3 friends go to a concert. In how many different ways can you sit in the assigned

  1. math-

    A new model of car is available in 4 exterior colors and 3 interior colors. Use a tree diagram and specific colors to show how many color schemes are possible for the car. Solve the problem using an alternative method as well.Note

  2. English

    Identify the sentence that contains NO errors in punctuation or use of italics. a. Catherine asked, "Where are you going"? b. "We're going to volunteer ate the animal shelter," said Dan, "Do you want to come?" c. "Do they have

  3. math

    To win the World Series, a baseball team must win 4 games out of a maximum of 7 games. To solve the problem, list the possible arrangements of losses and wins. How many ways are there of winning the World Series in exactly 6 games

  4. Statistics

    Two dice are tossed. What is the probability that the sum of both dice is a prime number? This is what I have so far Presuming two fair, 6-sided dice, each numbered 1 through 6: You can achieve one of the following results on any

  1. english

    please correct if the sentence into reported speech are right. 1-where do you buy your clothes? she asked me where did i buy my clothes? 2-how long have you been collecting these clothes? she asked me how long have i been

  2. College Algebra

    "Solve each equation. Round your answers to the nearest ten-thousandth." (These are my directions) Here is the equation: 3^n + 9 = 69 How do I solve this getting the answer asked for?

  3. GENERAL CHEMISTRY

    CALCULATE THE pH AND HYDROLYSIS IN 0.10 M AlCl3 SOLUTION.Ka = 1.2 X 10-5 FOR [Al(OH2)6]+3,OFTEN ABBREVIATED Al+3.TELL WHETHER pH IS ACID OR BASE.GIVE IONIC EQUATION. Help us a little by telling us how much you know to do and

  4. discrete math

    Nine people on a baseball team are trying to decide who will play which position. a. in how many different ways could they select a person to be pitcher? b. after someone has already been selected as pitcher, how mandy different

View more similar questions or ask a new question.