Homework Help Forum: Calculus

Posted by Salman on Saturday, November 7, 2009 at 4:56am.

Determine where the absolute extrema of f(x)=-3(x^2)+7x on the interval [1,3] occur. 1. The absolute maximum occurs at = 2. The absolute minimum occurs at =

• Calculus - drwls, Saturday, November 7, 2009 at 5:16am

  Set the derivative f'(x) = 0 and solve for x. -6x + 7 = 0 x = 7/6 Since the second derivative f"(x) = -6, the extremum at x = 7/6 is a maximum. The minimum for the interval [1,3] will occur at x = 3, since the f(x) just keeps getting lower for higher values of x when x > 7/6.

  
  

Answer this Question

First Name:
School Subject:
Answer:

For Further Reading