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Mathematics 20 Online
OpenStudy (anonymous):

@Loser66

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

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

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?

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'

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

OpenStudy (freckles):

if you want to anyways

OpenStudy (freckles):

if you are trying to show your answer is equivalent to some other answer listed

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