Posted by Cheallaigh on Saturday, April 28, 2012 at 8:11pm.
f(x)=((6x-3)/(x+6)) how do you find the intervals of decreasing and increasing...I found that there were no critical points yet I was also correct that the function increased (-I,-6) and (-6,I). I was wrong that there were no decreasing intervals though.
- Engineering Calculus - Bosnian, Saturday, April 28, 2012 at 9:47pm
If fŒ(x) > 0 at each point in an interval I, then the function is said to be increasing on I.
fŒ(x) < 0 at each point in an interval I, then the function is said to be decreasing on I.
In your case :
fŒ(x) = 39 /( x + 6 ) ^ 2
( x + 6 ) ^ 2 always positive except
when x = - 6
In point x = - 6 function has vertical asymptote
So function :
f( x ) = ( 6 x - 3 ) / ( x + 6)
If you don't know how to find first derivation
wolframalpha dot com
When page be open in rectangle type:
and click option =
When you see result click option:
If you want to see graph of your function in google type:
function graphs online
When you see list of results click on:
When page be open in blue rectacangle type:
Range x-axis from -100 to 100
Range y-axis from -100 to 100
Then click option :
You will see graph of your function.
Answer This Question
More Related Questions
- Calculus - find the intervals where the function is increasing and the intervals...
- calculus-domain - Hello, I would greatly appreciate your input. I just need some...
- calculus - f(x)= - 2x^3 + 45x^2 -300x +9 There are 3 intervals (-inf,A], [A,B...
- Calculus - For y=(1/4)x^4-(2/3)x^3+(1/2)x^2-3, find the exact intervals on which...
- Calculus - Find the intervals on which the given function is increasing and ...
- Calculus - Consider the function f(x)=-2x^3+33x^2-108x+2. For this function, ...
- calculus - the graph (x^5-15*x^3 +10) is sketched without axes and not to scale...
- calculus - Please help!! *f(x)= x(x+6)^1/2 find two x intercepts. Then show that...
- calculus - 8. f(x)= - 2x^3 + 45x^2 -300x +9 There are 3 intervals (-inf,A], [A,B...
- Calculus - Consider the function f(x) = x - lnx. Find the intervals on which f(x...