- #1
BOAS
- 552
- 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 y2 = 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...