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Implicit Differentiation

Hi, I've been trying to differentiate this for quite some time now, carefully working out the derivative but I'm not sure if I have arrived at the right answer.

The question is to find dy/dx of:
x^y + y - cos(x) = pi

I got dy/dx = - (yx^(y) - xsin(x)) / x(1 + x^(y)ln(x))

Please help/confirm!
Thanks

P.s. Sorry, I'm no good with LaTex lol.
Original post by jphoenix
Hi, I've been trying to differentiate this for quite some time now, carefully working out the derivative but I'm not sure if I have arrived at the right answer.

The question is to find dy/dx of:
x^y + y - cos(x) = pi

I got dy/dx = - (yx^(y) - xsin(x)) / x(1 + x^(y)ln(x))

Please help/confirm!
Thanks

P.s. Sorry, I'm no good with LaTex lol.

EDIT: Actually, not quite. You've got a sign error. That bolded minus should be a plus.
(edited 12 years ago)
Reply 2
Avatar for jphoenix
jphoenix
OP
If you meant the minus sign before 'xsinx' there yes you're right. I actually wrote the correct answer before but was attempting to type it out for people to understand. Fail. lol

Thanks though!

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