Question

Find dy/dx by implicit differentiation and evaluate the derivative at the given point.xy = 12, (-4, -3)

Answer 1

xy=12
xdy/dx + y = 12
xdy/dx = 12 - y
dy/dx= (12-y) /x
dy/dx | x=-4 ,y=-3 = (12-(-3))/(-4)
= (12+3)/-4 = -15/4