Question

use implicit differentiation to find the derivative of
4x^3+4y^3=20xy

Answer 1

12x^2+12y^2 dy/dx=20x dy/dx+20y
12x^2-20y=20xdy/dx-12y^2 dy/dx
12x^2-20y=dy/dx(20x-12y^2)
dy/dx=(12x^2-20y)/(20x-12y^2)

Answer 2

im confused on how to differentiate the 20xy part

Answer 3

20 is a constant multiple
just bring it down later
find the derivative of (xy) using the product rule
since you have a product of course

Answer 4

the product rule is (fg)'=g*f'+f*g'

Answer 5

what the derrivative of y

Answer 6

y'