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tangent line problem

caseclosed
in Analysis and Calculus

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What is the slope of the tangent line to the curve xy^2+5tan(xy)-2y+x=4 at the point (4, 0)?

 

ok, I used implicit differentiation to find dy/dx then plug in those 2 points to find the slope of the tangent line but I don't know how to find the derivative of 5tan(xy).

  • Author

I got - .0556 for my answer, found this site that gives derivative of tan(xy)=sec(xy)^2 * (x*dy/dx+y)

 

can anyone show me how derivative of tan(xy)= that above in steps :)

Use the chain rule to first you differentiate the tangent, times the derivative of the inside, using the product rule and differentiating y as a funtion of x.

  • Author

nvm this topic, lol.

I got integral and derivatives messed up, thought sec(x)^2 was the integral of tan(x). heh

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