Question

find the absolute maximum and minimum values of the function f(x) = x(4-x^2)1/2 on the interval [-1,2]

Answer 1

First you need to calculate the derivative of your function over the integral

Answer 2

interval*

Answer 3

then you can solve the derivative to find the areas where the slope is zero. If none of the solutions are within your interval then find which of your endpoints of the interval are mins or maxes

Answer 4

If they fall within your interval, take the second derivative of the function. This will tell you if the slope of the function is increasing or decreasing at the given point. If it is deceasing then it is a maximum at that point as all the points around it are lower

Answer 5

how so? I struggle with problems like this.