Differentiation

posted by .

Again, that all makes sense. Thank you very much.

Thank you very much. I did get the derivative you show, but then divided through by 6 to get at the stationary points. Was that wrong?

I'm only looking for a critique please, not answers!

given: f(x)= −2x 3 +21x 2 − 60x+17

1. Is 1st deriv of this -x^2+7x-10 ?

2. stationary points x=2; x=5 ?

3. these are a local min and a local max?

Thanks

1. No. It is -6 x^2 +42 x-60.
2. See if the derivative is zero at both points. If so, the answer is yes.
3. Look at the second derivative. Evaluate it at x=2 and x=5. If the signs are + and -, the answer is yea. These cannot be absolute maxima and minima points because f(x) goes to + and - infinity.

Dividing by 6 is OK when setting the derivative equal to zero. When the derivative is zero, so is 1/6 the derivative. Note that 1/6 of the derivative is -(x-2)(x-5), so you can see right away where the stationary points are.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. music

    what are singing points? As a music teacher, I've never heard of them. How are they used in the homework?
  2. Math - Calculus Question.

    hey can someone explain to me the relationship between the chain rule and implicit differentiation?
  3. to Ms.Sue & GuruBlue

    Thank you so much for helping me out. I just don't comprehend that easily and the subject of religons is VERY difficult to me. Once again thank you for all your help. You are more than welcome! We are glad to be of help. You're very …
  4. science

    Hi it's me again. I realize that my last question didn't make much sense, so I will try to explain it again. Her it goes..... A long time ago the Mayans predicted that it took so many days( years even) for the sun to orbit the jupiter. …
  5. English

    1. I liked the work very much because I could help orphans who needed love. 2. I liked the work very much because I could help children who had no father and mother. 3. I liked the work very much because I could help orphans who needed …
  6. Calc

    ex: Find the indicated derivative using implicit differentiation. e^x/y^2= 8 + e^y; dy/dx Please I need help and thank you very much!
  7. English

    Hello. I'll be very grateful for some help again. Do you think it's OK to use "resolve" in the present perfect continuous tense, for example: "they have been resolving the problem for several weeks"?
  8. Calculus,Stationary Points,First derivative test

    Good afternoon, I need a bit of help. So ive got my first derivative which is 6x^2-6x-12 and the stationary points ive found are x=-1 and x=2 at which points the value of the derivative is zero. So im attempting to classify the points. …
  9. English

    1. He lent me a book, which interested me very much. 2. He lent me a book, and it interested me very much. 3. He lent me a book, interesting me very much -------------------------------- Can #2 be changed into #3?
  10. Algebra I

    Can you please show me the steps and solution to this problem?

More Similar Questions