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 one year ago
Determine an equation of the line tangent to the graph of
y= ((x^21)^2)/(x^36x1) at the point (3,8)
 one year ago
Determine an equation of the line tangent to the graph of y= ((x^21)^2)/(x^36x1) at the point (3,8)

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myininaya
 one year ago
Best ResponseYou've already chosen the best response.1\[y=\frac{(x^21)^2}{x^36x1}\] Have you found y' yet?

natka107
 one year ago
Best ResponseYou've already chosen the best response.0Yes, I have but I am getting the final answer wrong, and I am not sure where I am making a mistake. It is the first time I can't figure out what I am doing wrong...

myininaya
 one year ago
Best ResponseYou've already chosen the best response.1So you have \[((x^21)^2)'=2(x^21) \cdot 2x \] and \[(x^36x1)'=3x^26\] ?

myininaya
 one year ago
Best ResponseYou've already chosen the best response.1So by quotient rule, we should have \[y'=\frac{2(x^21) \cdot 2x (x^36x1)(3x^26)(x^21)^2}{(x^36x1)^2}\]

myininaya
 one year ago
Best ResponseYou've already chosen the best response.1What did you get for the slope? I got a pretty little integer.

myininaya
 one year ago
Best ResponseYou've already chosen the best response.1Say something so I can know you are still there. Like did you simplify that above and then plug in? I'm getting the slope of the tangent at x=3 is 9.

natka107
 one year ago
Best ResponseYou've already chosen the best response.0sorry. The answer is y=9x+35

natka107
 one year ago
Best ResponseYou've already chosen the best response.0I got some bizzare answers that don't make much sense... However, for y' i got \[((x^21)(x^415x^24x6))\div(x^36x1)^2\]

natka107
 one year ago
Best ResponseYou've already chosen the best response.0myininaya how did you get 9 and 3?

myininaya
 one year ago
Best ResponseYou've already chosen the best response.1Your question said to find the tangent line at x=3. I plugged x=3 into f'.

natka107
 one year ago
Best ResponseYou've already chosen the best response.0I did that and still did something wrong. Anyways, thanks for your help.

myininaya
 one year ago
Best ResponseYou've already chosen the best response.1You y' is right... I don't understand why you aren't getting 9 when pluggin in 3.... \[\frac{(3^21)(3^415(3)^24(3)6)}{(3^36(3)1)^2}\] \[=\frac{(91)(81135126)}{(27181)^2}=\frac{(8)(81153)}{(2719)^2}\] \[=\frac{(8)(72)}{(8)^2}=\frac{8(72)}{(8)(8)}=\frac{\cancel{8}(72)}{\cancel{(8)}(8)}=\frac{72}{8}=9\]

myininaya
 one year ago
Best ResponseYou've already chosen the best response.1You should be getting 9 as the slope of your line... So I don't know where you are going wrong in your calculation.

natka107
 one year ago
Best ResponseYou've already chosen the best response.0Hah, I found my mistake! I kept calculating 3^2 instead of 3^3 in the denominator...
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