find the equation of the tangent line to (e^xy)+(x^2)-(y^2)=5 through the point (2,0)

find the equation of the tangent line to (e^xy)+(x^2)-(y^2)=5 through the point (2,0)

Answers
This one is much trickier than your last question and will take a long time to explain. The key ideas, though, are the same as for every calculus problem: find ways to apply the chain rule and the product rule, use results for the derivative of exponentials and of x^2, and then plug in numbers. If you want a full worked solution then you'll have to get in touch with me for a private session. Please get in touch with me if you're able/ willing to do that.
jim360
05 August 2012
do i have to pay for a private session?
mariad
05 August 2012
for the derivative i got y'=(-2x+(e^xy)y)/(e^xy)x-2y
mariad
05 August 2012
Yes, you would need to pay for a private session. However, up to a minus sign error and one or two brackets your answer for the derivative looks correct! It should be y'=(-2x-y(e^xy))/(x(e^xy)-2y) I think. So well done!
jim360
06 August 2012
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