Critical Numbers?

Calculus Level 2

Find the critical number of the function.

f ( x ) = ∣ 6 x − 9 ∣ f(x)=|6x-9|


The answer is 1.5.

Sharky Kesa by Sharky Kesa , 19, United Kingdom

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Anh Vũ
Jul 5, 2014

Transform: f ( x ) = ∣ 6 x − 9 ∣ = ( 6 x − 9 ) 2 f(x) = |6x - 9| = \sqrt{ (6x - 9)^2 }

Take f ′ ( x ) = 6 ( − 3 + 2 x ) ( 3 − 2 x ) 2 f'(x) = \frac{6 (-3+2 x)}{ \sqrt{(3-2 x)^2}}

Solve f ′ ( x ) = 0 f'(x) = 0 then have x = 1.5 x = 1.5

0 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...