Please help fast! Consider the equation x^2+xy^2+y^3=100Use implicit differentiation to find y′?
x^2+(xy)^2+y^3=100
x^2+(xy)^2+y^3=100
?
x^2 + (xy)^2 + y^3 = 100
y^3 = 100 - x^2 - (xy)^2
y'(x) = -(2 x y)/(2 x^2 + 3 y) - (2 x)/(y (2 x^2 + 3 y))
rotchm
Hints: What's the derivative of x² ? The derivative of y^3 is 3y² * y'.
Now, whats the derivative of xy² ?
Answer these, and then we will take it from there if need be.