calculus
posted by jake .
find the maximum and minimum value of the function f(x)= xx^3 on the interval [2,2]
I also need help with this question
What is the largest possible product of two negative number whose sum is 1?

calculus 
Damon
check end points
f(2) = 2+8 = 6
f(2) = 28 = 6
now find where derivative is zero
f' = 1 3x^2
= 0 when x = 1/sqrt3 or x = 1/sqrt3
if x = 1/sqrt 3
f = 1/sqrt3 1/3sqrt3 =(2/3sqrt3)
if x = 1/sqrt3
f = 1/sqrt3 +1/3sqrt 3
= (2/3sqrt3)
so the max and min are at the end points max at 2 and min at +2
Respond to this Question
Similar Questions

Calculus
Find the sum of two numbers whose sum is 70 and whose product is as large as possible. Ok i got that one equation is y = 70  x...but how do I show an equation for a product which is as large as possible. The product is P = x (70  … 
Calculus Please Help
A continuous function f, defined for all x, has the following properties: 1. f is increasing 2. f is concave down 3. f(13)=3 4. f'(13)=1/4 Sketch a possible graph for f, and use it to answer the following questions about f. A. For … 
Calculus Please Help
A continuous function f, defined for all x, has the following properties: 1. f is increasing 2. f is concave down 3. f(13)=3 4. f'(13)=1/4 Sketch a possible graph for f, and use it to answer the following questions about f. A. For … 
Calculus (pleas help!!!)
Find the absolute maximum and absolute minimum values of the function f(x)=(x−2)(x−5)^3+11 on each of the indicated intervals. Enter 1000 for any absolute extrema that does not exist. (A) Interval = [1,4] Absolute maximum … 
Calculus (pleas help!!!)
Find the absolute maximum and absolute minimum values of the function f(x)=(x−2)(x−5)^3+11 on each of the indicated intervals. Enter 1000 for any absolute extrema that does not exist. (A) Interval = [1,4] Absolute maximum … 
calculus
Find the absolute extrema of the function (if any exist) on each interval. (If an answer does not exist, enter DNE.) f(x) = square root of (25 − x^2) (a) [−5, 5] minimum (x, y) = (smaller xvalue) (x, y) = (larger xvalue) … 
Please Help ! Calculus
Find two numbers whose sum is 42 and whose product will be at the largest possible. 
calculus
What is the largest possible product of two negative number whose sum is 1? 
Calculus
What is the largest possible product of two nonnegative number whose sum is 1 
Calculus
Find the minimum value of the following function: h(x)= x(12(x+1)^(1/3) 12) on the interval [0, 26] Honestly, I have found by graphing that the minimum value is at the coordinate point (9,3), but I need to do this in a way that …