Question

 

part 1)

Use implicit differentiation to find an equation of the tangent line to the curve

sin(x+y)=6x−6y at the point (π,π)

Tangent Line Equation: y=

part 2)

Find an equation of the tangent line to the curve x^(2/3)+y^(2/3)=13 at the point (−8,27)

y=

part 3)

Find an equation of the tangent line to the curve

(x^2/36)+(y^2/81)=1

at the point (−3,(−9/2)√3)

An equation of this tangent line to the ellipse at the given point is y=mx+b where

m= and b=

part 4)

Find an equation of the line tangent to the curve defined by x^2+2xy+y^3=4 at the point (1,1)

y=

Answer 1