Find dy/dx by implicit differentiation. 8 cos x sin y = 6

8sin(x)cos(y) = 6
Take derivative with respect to x. Since y is a function of x, take the derivative for y as well but it is multiplied by dy/dx

chain rule
8cos(x)cos(y) - 8sin(x)sin(y)(dy/dx) = 0

solve for dy/dx

8cos(x)cos(y) = 8sin(x)sin(y)(dy/dx)

[8cos(x)cos(y)]/[8sin(x)sin(y)] = dy/dx
simplify
cot(x)cot(y) = dy/dx

Where are the functions?

A’b’c’ are the coordinates to the new location of the transformed triangle abc. find the distance between the coordinates points to use for your calculations.