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anonymous
 one year ago
Help is very appreciated!
Y is a differentiable function of x. Choose the alternative that is the derivative dy/dx.
x^3y^3=1
x+cos(x+y)=0
3x^22xy+5y^2=1
I'm doing these for homework on my AP Calc preparation course and am really confused. The teacher kind of rushed over this and I don't really understand what they meant.
Thank You!
anonymous
 one year ago
Help is very appreciated! Y is a differentiable function of x. Choose the alternative that is the derivative dy/dx. x^3y^3=1 x+cos(x+y)=0 3x^22xy+5y^2=1 I'm doing these for homework on my AP Calc preparation course and am really confused. The teacher kind of rushed over this and I don't really understand what they meant. Thank You!

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@ganeshie8 @myininaya @pooja195 @nincompoop @Preetha @phi

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@Nnesha @mathstudent55 @e.mccormick @Loser66 @ash2326

Loser66
 one year ago
Best ResponseYou've already chosen the best response.1Do you know partial derivative? implicit derivative?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0sort of, we just started

Loser66
 one year ago
Best ResponseYou've already chosen the best response.1the first one x^3 +y^3 = 1 if we solve y w.r.t.x, it is hard to take derivative. Hence, we apply implicit one derivative both sides 3x^2 + 3y^2y' =0 that gives us y'= x^2/y right?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0would it be positive?

Loser66
 one year ago
Best ResponseYou've already chosen the best response.1for the second one x +cos (x+y) =0 same 1sin(x+y) *(x+y)' =0 1+ sin(x+y)(1+y') =0 so, just solve for y' that is it. do the same with the rest/

Loser66
 one year ago
Best ResponseYou've already chosen the best response.1oh, I mess up at the second line, it is 1 sin...

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh, gotcha. Is it okay if you help me with another question? If x=e^theta cos theta and y=e^theta sin theta, then, when theta=pi/2, dy/dx is...
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