precalculus

posted by .

find the increasing and decreasing intervals of 4x^3-7x+3

  • precalculus -

    f = 4x^3 - 7x + 3
    = (x-1)(2x-1)(2x+3)

    If you've started working with derivatives yet, then you know that where f' > 0, f is increasing

    f' = 12x^2 - 7

    find where f' >0 and that will tell you where f is increasing.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. increasing and decreasing intervals

    Have to find the intervals on which f(x) = 4 - sqrt(x+2) is increasing. Also the intervals on which the function is decreasing. TIA Find the derivative of f(x). When the derivative is positive, the function increases as x increases. …
  2. Calculus

    find the intervals where the function is increasing and the intervals where it is decreasing f(x)= (x^3/3)-(x^2/2) ok i found its derivative which is (f1(x)=(x-1)x my options are increasing a) (0,infinity) b) (-1,0) c(-infinity,0)U(1,infinity) …
  3. Engineering Calculus

    f(x)=((6x-3)/(x+6)) how do you find the intervals of decreasing and increasing...I found that there were no critical points yet I was also correct that the function increased (-I,-6) and (-6,I). I was wrong that there were no decreasing …
  4. math

    Let f(x) = 3+4x-x^{3}. Find the open intervals on which f is increasing (decreasing). Then determine the x-coordinates of all relative maxima (minima). 1. f is increasing on the intervals?
  5. Lauren

    Let f(x) = 3+4x-x^{3}. Find the open intervals on which f is increasing (decreasing). Then determine the x-coordinates of all relative maxima (minima). 1. f is increasing on the intervals 2. f is decreasing on the intervals
  6. Calculus

    a) find the intervals on which f is increasing or decreasing. Is it ....f is decreasing on the intervals (- infinity, -1) and (1, infinity)...f is increasing on the interval (-1, 1)....... b)find the local min and max values of f.. …
  7. Calculus

    f(x)= x/(1+x)^2 a) find the intervals on which f is increasing or decreasing. Is it ....f is decreasing on the intervals (- infinity, -1) and (1, infinity)...f is increasing on the interval (-1, 1)....... b)find the local min and max …
  8. Brief Calculus

    Increasing and Decreasing Functions. Let f(x) = 4x^3 - 9x^2 -30x +6 A. Find all critical numbers of f(x) B. Give the open intervals where f (x) is increasing and decreasing and clearly label each.
  9. Calculus

    find the intervals on which f is increasing and decreasing f(x)=(x-2)/(X^2-x+1)^2 I found the derivative a got a whole mess of things: ((x^2-x+1)^2-2(x^2-x+1)(2x-1)(x-2))/(x^2-x+1)^4 Do I have to use the quadratic formula to solve …
  10. Calculus

    Find the open intervals on which f(x) = -6x^2 + 96x + 7 is increasing or decreasing. a. increasing on (-inf, 16); decreasing on (16, inf). b. increasing on (-inf, 14); decreasing on (14, inf). c. increasing on (-inf, 84); decreasing …

More Similar Questions