Post a New Question

Business Calculus

posted by .

The function f(x)=4x+9x^-1 has one local minimum and one local maximum.

This function has a local minimum at x=______ with a value _______ and a local maximum at x=________ with value _______?

  • Business Calculus -

    Take the derivative of the function f(x) and set it equal to zero. Solve for x

    f'(x) = 4 - 9x^-2. = 0
    4 = 9/x^2
    x^2 = 9/4
    x = +___ or - ___

    That tells you where the maxima and minima are. The second derivative tells you which it is. It is a maximum where f'(x) = 0 and f''(x) is negative.

    This is basic important stuff. You should be asking how to do them, not what the answers are. Otherwise you won't learn the subject.

Answer This Question

First Name
School Subject
Your Answer

Related Questions

More Related Questions

Post a New Question