- #1

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- 19

## Homework Statement

Hello,

I missed the class where we were introduced to implicit differentiation so have been catching up this evening. I think I have it, but please could you check my working? Thanks!

Find the derivative of y

^{2}= 2x + 1

[itex]\frac{d}{dx}[/itex][itex]([f(x)]^{2})[/itex] = [itex]\frac{d}{dx}[/itex]([2x]) + [itex]\frac{d}{dx}[/itex]([1])

[itex]\frac{d}{dx}[/itex][itex]([f(x)]^{2})[/itex] = [2f(x)]f'(x)

[itex]\frac{d}{dx}[/itex]([2x]) = 2

[itex]\frac{d}{dx}[/itex]([1]) = 0

So my answer is;

2y[itex]\frac{dy}{dx}[/itex] = 2

Is this correct?

I suppose i'm a bit confused about how I should leave my answer...