Posted by C on Tuesday, March 26, 2013 at 8:55pm.
Implicit differentiation of 5x^22xy+7^y

Calculus  Reiny, Tuesday, March 26, 2013 at 9:24pm
Two assumptions
1. you want dy/dx
2. You have the equation 5x^2  2xy + 7y^2 = 0
10x  2x dy/dx  2y + 14y dy/dx = 0
dy/dx( 14y  2x) = 2y  10x
dy/dx = (2y10x)/(14y  2x) = (y  5x)/(7y  x)

Calculus  C, Tuesday, March 26, 2013 at 9:27pm
No, the equation is
5x^22xy+7^y
Last term has 7 to the y power....

Calculus  Reiny, Tuesday, March 26, 2013 at 9:43pm
Ouch, nasty term ...
the derivative of 7^y would be
(ln7)(7^y)dy/dx
I am sure you can make the necessary changes .

Calculus  C, Tuesday, March 26, 2013 at 9:45pm
Yes...very nasty! Thanks
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