What is the maximum value of f(x)= (x^4) + (x^3) - ((17/4)x^2) + (1/2)x on the interval [-2,2] ?
I took the derivative of the function and then I set it to 0, and then I factored to get values for x. I got positive and negative 1.09167 and positive 0.060206. However when I plugged it into the original function the answers I were getting were too small. Can someone shed some light for me. Thanks!
There is a minimum turning point at x = -1.901875 and x = 1 .09167. There is a maximum turning point at x = 0.060206.
I don't where your other solutions for f'(x) = 0 have come from ...?
You should note that over a finite interval the maximum value of a function occurs at either the maximum turning point or one of the endpoints .....
I plugged in 0.060206 and I got a decimal, something around 0.014929
and when I plugged in 1.09167 and I got -1.79783. For this particular problem I know I am supposed to get a number greater than 1 and less than 30. So both of those values do not make sense. Should I try to plug in -1.09167? Can I even do that, is the fact that it is negative significant to this problem?