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anonymous
 5 years ago
can anybody solve partial deriavative
z=e^x^2 + xy with respect to x and y
anonymous
 5 years ago
can anybody solve partial deriavative z=e^x^2 + xy with respect to x and y

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0When you take the partial derivative with respect to x, consider y as a constant.

Yuki
 5 years ago
Best ResponseYou've already chosen the best response.1\[f = e^{x^2} + xy \] \[f_x = 2x*e^{x^2} + y\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[{\partial z \over \partial x}=2xe^{x^2}+y\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[{\partial z \over \partial y}=x\]

Yuki
 5 years ago
Best ResponseYou've already chosen the best response.1Anwar you always surprise me. How did you get that "d" from ?!

Yuki
 5 years ago
Best ResponseYou've already chosen the best response.1Anwar you always surprise me. How did you get that "d" from ?!\[\partial\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Try to find out yourself :)

Yuki
 5 years ago
Best ResponseYou've already chosen the best response.1that was a lot easier than I thought lol

Yuki
 5 years ago
Best ResponseYou've already chosen the best response.1anyway, zizUo, with partial derivatives you will treat the other variable as same as numbers, so for f_y, the term \[e^{x^2}\] has no y in it, so it's derivative is 0 since you treat is as if it's a number

Yuki
 5 years ago
Best ResponseYou've already chosen the best response.1so it is actually not that hard. implicit differentiation is much more harder :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0it means u simply have to separate out the e^x ?

Yuki
 5 years ago
Best ResponseYou've already chosen the best response.1e^x^2 has no y in it, so the partial derivative of e^x^2 with respect to y, is as same as taking the derivative of a number like 10 or 34

Yuki
 5 years ago
Best ResponseYou've already chosen the best response.1on the other hand, the term xy has a y multiplied to x, so it is similar to saying " find the derivative of 2y" which is 2 in our case, x is the constant, so the partial derivative of xy is x

Yuki
 5 years ago
Best ResponseYou've already chosen the best response.1on the other hand, the term xy has a y multiplied to x, so it is similar to saying " find the derivative of 2y" which is 2 in our case, x is the constant, so the partial derivative of xy is x
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