Are you wanting the derivative of:
?.
Rewrite as such and use the product rule:
Multiply the top and bottom of the right side by
and simplify:
Qu.
Use graph sketching strategy to sketch the graph of the function f(x) = 4x -15/ x^2 -9
Step 1 The domain of f is all natural numbers except + 3 or - 3 when x^2 - 9 = 0
Step 2 Function f in nether even or odd
step 3 x intercept , 4x -15 = 0, x = 3 3/4
y intercept f (0) = 5/3
step 4
f(x) = 4x -15/ (x-3) (x+3)
f is positive (3 3/4, infinite), and negative on (-infinite, -3), (-3,3), and (3, 3 3/4)
Step 5
the derivative of f(x) = -4x^2 -36 +30x/ (x^2-9)^2
Then I got stuck....please help
Sketching curves has always been one of my favorite thing in calculus. I will you show you my way.Originally Posted by fair_lady0072002
-------------------------------------------
Step 1: Find domain
Find the domain of the function,
Note, thus,
Step 2: Symettry
Does
You can see that,
--->No
Does
You can see that,
and that,
---> No
Step 3: Asymptotes
Yes it does at (since numerator is non-zero while denominator is zero).
I countinue later, it takes longgg time.
Fair Lady Check out the thread belowOriginally Posted by fair_lady0072002
http://www.mathhelpforum.com/math-he...ead.php?t=3605
Multiply the numerator (open parantheses),Originally Posted by fair_lady0072002
Use quotient rule,
Thus,
(1)
Note that,
And,
--->Rule of chains.
Now rewrite expression (1) without derivatives,
Factor, that the term thus,
Cancel,
Open ye olde' parantheses,
Thus, combine,