Question

The function f(x)=9x+2x^−1 has one local minimum and one local maximum.
This function has a local minimum at x equals.. with value...
and a local maximum at x equals.. with value..

Answer 1

f(x)=9x+2x^-1

We need to get the derivative:

f'(x)=9x-2x^-1

Set this equal to zero to find the local maximum and minimum:

8-9x^-2=0

Solve:

2x^-2=9

x^2=9/2

\[\sqrt{4.5}\]

Answer 2

from there would that be my local max or min

Answer 3

verified with Google

Answer 4

alright let me check if its right

Answer 5

yeah thats my min i just need to find the y values thanks

Answer 6

Hah, u verified i right!

Answer 7

yeah thanks again

Answer 8

No probelm