SOLUTION: Find the value of x that minimises y = 16x^2 + 1800/x for positive x. So first I need to differentiate, which would give y' = 32x

SOLUTION: Find the value of x that minimises y = 16x^2 + 1800/x for positive x. So first I need to differentiate, which would give y' = 32x - 1800/x^2 I am stuck with the next

Question 990242: Find the value of x that minimises
y = 16x^2 + 1800/x
for positive x.
So first I need to differentiate, which would give y' = 32x - 1800/x^2
I am stuck with the next 4 parts..
How many critical numbers does y have, for positive x?
Recall that a critical number of a function is a value of x for which the derivative of the function is zero or doesn't exist.
What is the nature of the critical number of the previous part?
Enter m for minimum, M for maximum or i for a horizontal point of inflection.
Give the exact value of the x that minimises y for positive x.
x (at minimum) =
Now give the value approximately as a 2 decimal place decimal. Now, give the approximate value (as a 2 decimal place decimal) of the x that minimises y for positive x.
x (at minimum) ≈

THANK YOU
Answer by josgarithmetic(39631) (Show Source): You can put this solution on YOUR website!
Where is the derivative equal to zero?
Simplify that derivative and then solve this.

The factor of 8 can probably not be needed because you are looking for the NUMERATOR to be zero; and for the same reason, the x in the numerator is not important for this.
You now just need to solve for .
RELATED QUESTIONS
Find the value of x that minimises y = 16x^2 + 1800/x for positive x So I know... (answered by rothauserc)

find the value of x that minimises y=18x^2+(100/x) for positive x. 1. In order to... (answered by Fombitz)

http://i.imgur.com/OQ38hve.png Here is picture if anything came out wrong in... (answered by rothauserc)

i need to differentiate y = (Sqrt x^2 +4)... (answered by stanbon)

Hello there, the topic I am having a question for is functions and whether it represents... (answered by jim_thompson5910)

Find the equation of a parabola that has a Minimum turning point at (2,-5). I am... (answered by ewatrrr)

I need help solving the following for y in terms of x: x = y^4 + y^2 + 1 I... (answered by jim_thompson5910)

if x and y are positive integers for which 2^x multiplied by 3^y equals 1296. what would... (answered by alka)

Please I need help on this problem. I need to solve the following equation for y.... (answered by KMST)