Mathematics
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OpenStudy (anonymous):
@Loser66
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OpenStudy (anonymous):
@perl PLEASE HELPPPPPPPP
OpenStudy (anonymous):
@freckles
OpenStudy (freckles):
what id derivative of (x+y) w.r.t x?
OpenStudy (freckles):
\[y=\sin(x+y) \\ y'=(x+y)'\cos(x+y) \text{ by chain rule } \]
So you need to find (x+y)'
OpenStudy (anonymous):
1
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OpenStudy (freckles):
(x+y)'=(x)'+(y)'
x'=1
but y' doesn't equal 0
OpenStudy (freckles):
y' is just y'
OpenStudy (freckles):
so (x+y)'=(x)'+(y)'=1+y'
OpenStudy (freckles):
No you need need to distribute
and solve for y'
OpenStudy (perl):
d/dx(x) + d/dx(y) = 1 + dy/dx
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OpenStudy (freckles):
now* not no
OpenStudy (anonymous):
0
OpenStudy (freckles):
:(
where do you keep getting 0?
OpenStudy (anonymous):
i didnt get 0 before??
OpenStudy (freckles):
then how did you get (x+y)' is 1?
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OpenStudy (anonymous):
i got 1
OpenStudy (freckles):
the derivative of (x+y) w.r.t to (x+y) is 1
but we are finding the derivative of (x+y) w.r.t x
OpenStudy (anonymous):
im confused
OpenStudy (freckles):
\[\frac{d}{dx}(x+y) = \frac{d}{dx}(x)+\frac{d}{dx}y \text{ by sum rule } \\ \]
OpenStudy (freckles):
dx/dx is 1
dy/dx is y'
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OpenStudy (anonymous):
y'= cos(x+y)/ 1-cos(x+y)
OpenStudy (freckles):
you mean y'=cos(x+y)/[1-cos(x+y)] ?
OpenStudy (freckles):
and yes that would be correct
OpenStudy (anonymous):
thanks
OpenStudy (freckles):
there are others way you can write it
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OpenStudy (freckles):
if you want to anyways
OpenStudy (freckles):
if you are trying to show your answer is equivalent to some other answer listed