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..

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..

anonymous · Answer

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

$$\sqrt{4.5}$$

anonymous · Answer

from there would that be my local max or min

anonymous · Answer

verified with Google

anonymous · Answer

alright let me check if its right

anonymous · Answer

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

anonymous · Answer

Hah, u verified i right!

anonymous · Answer

yeah thanks again

anonymous · Answer

No probelm