Posted by Eve on Tuesday, September 17, 2013 at 5:57pm.
Find the points on the graph of f where the tangent line is horizontal.
After I did the quotient rule I got:
Then of course I know you set that equal to 0, but I do not know how to set it up or "finalize" the problem because of the denominator. Please help!
calculus (derivativs) - Graham, Tuesday, September 17, 2013 at 6:08pm
((x^2+25)(1)-(x)(2x))/(x^2+25)^2 = 0
(25-x^2)/(x^2+25)^2 = 0
As long as x^2+25 <> 0 then you can multiply both sides by the denominator
(25-x^2) = 0
x^2 = 25
x = ±5
( Check: 25+25<>0 .. okay)
Find y when x=-5 and x=+5. These are your points
calculus (derivativs) - Eve, Tuesday, September 17, 2013 at 6:10pm
does that go into the derivative equation or the original?
Answer This Question
More Related Questions
- Calculus (derivatives) - Find the points on the graph of f where the tangent ...
- Calculus - 55. Find an equation of the tangent line to the graph of f(x) =x^3 - ...
- Calculus - Given the function y=(x^2-5/x+3), answer the following questions. a) ...
- Calculus - I have a two part question that pertains to a curve (r(x)) and its ...
- math - question: find the points at which the graph of x^2 -4x + y62 -6y =12 has...
- calculus - find the points at which the graph of 4x^2 - 4x + 12y^2 -6y = 10 has ...
- cal - Determine all values of x, (if any), at which the graph of the function ...
- secant line, tangent line - f(x) = sqrt(x-1), 1<=x<=3 Let A = (a,f(a)), ...
- Calculus AB - Could someone please help me with these tangent line problems? 1) ...
- Calculus - The function g is defined for x>0 with g(1)=2, g'(x)=sin(x+1/x), ...