Question

how do i differentiate this using implicit differentiation
y^2=9x^2+8x

Answer 1

2y?

Answer 2

@satellite73 I am not good at explanation, please help her

Answer 3

so do i need to solve it for y first?

Answer 4

@zepdrix @dumbcow @Directrix

Answer 5

Oh sorry I musta missed this one :x you figure it out already?

Answer 6

differentiate everything with respect to "x"
"y" is a function of "x" ...y(x)
so by chain rule when you differentiate the "y" term, you take derivative wrt "y" and multiply by dy/dx
\[\rightarrow 2y \frac{dy}{dx} = 18x+8\]
solve for dy/dx
\[\frac{dy}{dx} = \frac{9x+4}{y}\]