Question

Use implicit differentiation

Answer 1

where?

Answer 2

\[x^2+y=x^3+y^3\]

Answer 3

2x+dy/dx=3x^2+3y^2(dy/dx)

Answer 4

so i know that this goes to 2x+yprime=3x^2+3y^2(prime) but how do i simplify this?

Answer 5

differentiate it ... seperate dy/dx ... here you have your answer

Answer 6

do i divide all by yprime

Answer 7

2x+dy/dx=3x^2+3y^2(dy/dx)
dy/dx (1-3y^2) = 3x^2 - 2x
dy/dx = (3x^2 - 2x) / (1-3y^2)

Answer 8

ah! i see, thanks i actually did that accept i tried to subtract it rather than divide haha

Answer 9

just like making dy/dx as the subject