Find the absolute maximum value and the absolute minimum value, if any, of the function. f(x)=8x-\frac{9}{x}

Efan Halliday

Efan Halliday

Answered question

2021-05-11

Find the absolute maximum value and the absolute minimum value, if any, of the function.
f(x)=8x9x

Answer & Explanation

Cristiano Sears

Cristiano Sears

Skilled2021-05-12Added 96 answers

Step 1
We first find the critical points by solving f'(x)=0
f(x)=8x9x
f(x)=8+9x2
0=8+9x2
9x2=8
9=8x2
x2=98
x=±98(Notpossible)
This means the function does not have a critical point.
Step 2
We check the values of f(x) at the endpoints
At x=2, f(2)=8(2)92=11.5 (min)
At x = 4, f(4)=8(4)94=29.75 (max)
Answer: Absolute maximum value= 29.75
Absolute minimum value= 11.5

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?