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find the slope of the line tangent to the following curve where x = 1...
 one year ago
 one year ago
find the slope of the line tangent to the following curve where x = 1...
 one year ago
 one year ago

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iop360Best ResponseYou've already chosen the best response.0
\[y = \sin[x  \tan (\frac{ \Pi }{ 4 }x^{66})] + x ^{\frac{ 1 }{ 1 + 66\Pi }}\]
 one year ago

iop360Best ResponseYou've already chosen the best response.0
if you cant see the exponent part at the end, its: \[\frac{ 1 }{ 1+66\Pi }\]
 one year ago

iop360Best ResponseYou've already chosen the best response.0
im currently at this step: \[\frac{ 66\Pi }{ 4} + \frac{ 1 }{ 1 + 66\Pi }\]
 one year ago

zepdrixBest ResponseYou've already chosen the best response.0
Oh goodness.. this one again iop? XD
 one year ago

zepdrixBest ResponseYou've already chosen the best response.0
What is that symbol? Is that suppose to be pi?
 one year ago

zepdrixBest ResponseYou've already chosen the best response.0
Why don't u use lowercase? D: that's so confusing..
 one year ago

iop360Best ResponseYou've already chosen the best response.0
i was wondering if that was confusing people
 one year ago

zepdrixBest ResponseYou've already chosen the best response.0
Hmm you sure the step you got to is correct so far? :O
 one year ago

iop360Best ResponseYou've already chosen the best response.0
i got this for y prime: \[y' = \cos[x  \tan(\frac{ \pi }{ 4 }x^{66})](1  \sec^2(\frac{ \pi }{ 4 }x^{66}))(\frac{ 66\pi }{ 4 }x^{65}) + \frac{ 1 }{ 1+66\pi }x^\frac{ 1 }{ 1+66\pi }1\]
 one year ago

zepdrixBest ResponseYou've already chosen the best response.0
So what i tried to do is... After you get a common denominator and all that jazz.. you have something that looks like a polynomial in the numerator. And I'm not seeing it factor nicely :( at least not in any way that will cancel with the denominator. Hmmm
 one year ago

iop360Best ResponseYou've already chosen the best response.0
plugged 1 in.. \[y'(1) = 1(1)(\frac{ 66\pi }{ 4 })(\frac{ 1 }{ 1+ 66\pi })\]
 one year ago

iop360Best ResponseYou've already chosen the best response.0
the factoring is the confusing part... how am i supposed to get it to 99pi
 one year ago

iop360Best ResponseYou've already chosen the best response.0
unless the steps i did to get it to that point were incorrect...i dont think so
 one year ago

zepdrixBest ResponseYou've already chosen the best response.0
dw:1349581968847:dw Hmm yah your steps look good so far :o
 one year ago

zepdrixBest ResponseYou've already chosen the best response.0
Oh that last term should be addition.. my bad. The way that you have it originally wrote out.
 one year ago

zepdrixBest ResponseYou've already chosen the best response.0
dw:1349582282567:dw Hmmmm...
 one year ago

iop360Best ResponseYou've already chosen the best response.0
yes! i did that, now im stuck..
 one year ago

iop360Best ResponseYou've already chosen the best response.0
some kind of factorization trick in there, perhaps?
 one year ago

zepdrixBest ResponseYou've already chosen the best response.0
Mmmm I don't see one :\ Must be something else going on there. Blah I give up! XD
 one year ago

micahwood50Best ResponseYou've already chosen the best response.1
What the **** kind of teacher give you question like that?!? Or did you make up this question on your own?
 one year ago

iop360Best ResponseYou've already chosen the best response.0
the 4's cancel out..but then what? lol
 one year ago

iop360Best ResponseYou've already chosen the best response.0
i guess the neg sign could be the neg sign in the answer: 99pi
 one year ago

zepdrixBest ResponseYou've already chosen the best response.0
What we currently have = 51.83147906... 99pi = 311.0176727 Hmmm something isn't right, that doesn't equal 99pi
 one year ago

iop360Best ResponseYou've already chosen the best response.0
i guess i could submit this answer wrong and get a similar question with different values
 one year ago

iop360Best ResponseYou've already chosen the best response.0
or that could make things worse
 one year ago

micahwood50Best ResponseYou've already chosen the best response.1
According to WolframAlpha, the answer is 102.68 or \[133 \pi+\frac{1}{1+66 \pi}\] http://www.wolframalpha.com/input/?i=derivative+of++sin%28x++tan%28pi+%2F+4+x%5E66%29%29+%2B+x%5E%28%281%29%2F%281%2B66+pi%29%29+when+x+%3D+1
 one year ago
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