Question

Find the tangent of the line to the curve at the given point.

cos(x-y)+siny=sqrt(2)

(pi/2,pi/4)

tell me the steps? please.

Answer 1

more implicit differentiation and lots of chain rule :D

Answer 2

\[{\frac {\sin \left( x-y \right) }{\sin \left( x-y \right) +\cos \left( y \right) }} \]

Answer 3

sin(x-y)/(sin(x-y)+cos(y))

Answer 4

your m will be 1/2 if you evaluate it at (pi/2,pi/4)

then you use y=mx+b plug in y m and x and solve for b

Answer 5

this might help http://www.khanacademy.org/math/calculus/differential-calculus/v/implicit-differentiation--part-2