Applied Calculus

posted by .

Find the absolute maximum and absolute minimum values, if any, of the function. (If an answer does not exist, enter DNE.)

h(x) = x3 + 3x2 + 4 on [−3, 2]

  • Applied Calculus -

    I will assume you meant
    f(x) = x^3 + 3x^2 + 4
    f ' (x) = 3x^2 + 6x = 0 for max/min
    3x(x+2) = 0
    x = 0 or x = -2

    f(0) = 4
    f(-2) = -8 + 12 + 4 = 8

    end values:
    f(-3) = -27 + 27 + 4 = 4
    f(2) = 8 + 12 + 4 = 24

    minimum value of the function is 4
    maximum value is 24

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math I'm so confused

    Find the absolute maximum and absolute minimum values, if any, of the function. (If an answer does not exist, enter DNE.) f(x) = x2 − x − 5 on [0, 5] Come someone please show me how to do these problems?
  2. Calculus (pleas help!!!)

    Find the absolute maximum and absolute minimum values of the function f(x)=(x−2)(x−5)^3+11 on each of the indicated intervals. Enter -1000 for any absolute extrema that does not exist. (A) Interval = [1,4] Absolute maximum …
  3. Calculus (pleas help!!!)

    Find the absolute maximum and absolute minimum values of the function f(x)=(x−2)(x−5)^3+11 on each of the indicated intervals. Enter -1000 for any absolute extrema that does not exist. (A) Interval = [1,4] Absolute maximum …
  4. math calculus

    Find the absolute extrema of the function on the closed interval. Use a graphing utility to verify your results. (Round your answers to two decimal places. If an answer does not exist, enter DNE.) g(x) = (x^2 − 4)^2/3, [−5, …
  5. Calculus

    Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an answer does not exist, enter DNE.) f(x) = x^3 + 3 x^2 - 1 on [-3, 1]
  6. Calculus

    Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an answer does not exist, enter DNE.) f(x) = −x2 + 2x + 3 on [3, 6] maximum minimum
  7. Calculus

    Find the absolute maximum and absolute minimum values of the function f(x)=x^3+6x^2-63x+4 on each of the indicated variables. Enter DNE for does not exist. (A) Interval = [-8,0] Absolute maximum = Absolute minimum = (B) Interval = …
  8. calculus

    2) Let g(s)= t(4−t)^1/2 on the interval [0,2]. Find the absolute maximum and absolute minimum of g(t) on this interval. Enter DNE if the absolute maximum or minimum does not exist. The absolute max occurs at t= . The absolute …
  9. calculus

    Find the absolute extrema of the function (if any exist) on each interval. (If an answer does not exist, enter DNE.) f(x) = square root of (25 − x^2) (a) [−5, 5] minimum (x, y) = (smaller x-value) (x, y) = (larger x-value) …
  10. calculus

    Find the absolute extrema of the function (if any exist) on each interval. (If an answer does not exist, enter DNE.) f(x) = square root of (25 − x^2) (a) [−5, 5] minimum (x, y) = (smaller x-value) (x, y) = (larger x-value) …

More Similar Questions