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DLS
 3 years ago
siny=xsin(a+y)
dy/dx=?
DLS
 3 years ago
siny=xsin(a+y) dy/dx=?

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DLS
 3 years ago
Best ResponseYou've already chosen the best response.0I have a small doubt here..

DLS
 3 years ago
Best ResponseYou've already chosen the best response.0is xsin(a+y) to be solved with product rule?

lgbasallote
 3 years ago
Best ResponseYou've already chosen the best response.0dy/dx means you take the derivative of x... since sin(a+y) does not include any x in it... no, you don't use product rule. you treat sin(a+y) as a constant coefficient

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.4ummm.... u need to use product rule...

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.4because y is the function of x

DLS
 3 years ago
Best ResponseYou've already chosen the best response.0What I want to ask is..if I had ysin(a+y) then I wuldve used chain rule?

lgbasallote
 3 years ago
Best ResponseYou've already chosen the best response.0you only use product rule when two facots include x for example xsin x < x and sinx both have x so you use product rule xsiny < siny doesn't have x so treat it as coefficient remember that @hartnn ?

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.4no, product again, because both are functions of x

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.4sin y doesn't have x, right bu since y is the function of x....

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.4d/dx sin y = cos y dy/dx

DLS
 3 years ago
Best ResponseYou've already chosen the best response.0but even WFA treats it as 0

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.4no...x sin(a+y) needs product rule.

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.4x cos(a+y) dy/dx + sin(a+y)

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.4cos y dy/dx =x cos(a+y) dy/dx + sin(a+y) isolate dy/dx

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.4your WFA http://www.wolframalpha.com/input/?i=siny%3Dxsin%28a%2By%29%2C++dy%2Fdx%3D%3F

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.4it doesn't treat it as 0.

DLS
 3 years ago
Best ResponseYou've already chosen the best response.0but still not clear why product rule..its used in product of 2 functions so x and sin(a+y) x is not a function,y is

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.4x is a function of x x^1

DLS
 3 years ago
Best ResponseYou've already chosen the best response.0every variable is afunction of itself then

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.4you can say that. f(x) = x^n with n=1.

DLS
 3 years ago
Best ResponseYou've already chosen the best response.0why didnt we use chain rule for sin(a+y)

DLS
 3 years ago
Best ResponseYou've already chosen the best response.0sin is one function and y other right?

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.4cos (a+y) d/dx(a+y) =cos (a+y) (0+dy/dx)

DLS
 3 years ago
Best ResponseYou've already chosen the best response.0so I have to treat x&y both as function not variables but other variable like abcd as constants(0) ?

RolyPoly
 3 years ago
Best ResponseYou've already chosen the best response.0\[\frac{d}{dx}xsin(a+y) \]\[=sin(a+y) \frac{d}{dx}(x) + x\frac{d}{dx}sin(a+y)\]\[=sin(a+y) + x[cos(a+y)\frac{d}{dx}(a+y)]\]\[=sin(a+y) + xcos(a+y)\frac{dy}{dx}\]

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.4here since y is the function of x, we treat it as different function. if a is function of x, then a is also function..... if a is independent of x, then a is constant.
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