Ask Question
6 July, 03:57

What is the maximum value of the function f (X) = - 3X^2+18x-10

+4
Answers (1)
  1. 6 July, 05:35
    0
    The local or global extrema will occur when velocity, dy/dx, is equal to zero.

    dy/dx=-6x+18

    d2y/dx2=-6

    Since acceleration, d2y/dx2, is a constant negative, when dy/dx=0, y is at an absolute maximum value ...

    dy/dx=0 only when - 6x+18=0, - 6x=-18, x=3

    And the maximum value is:

    f (3) = - 3 (3^2) + 18 (3) - 10

    f (3) = 17
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “What is the maximum value of the function f (X) = - 3X^2+18x-10 ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers