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Second Derivative in Implicit Form
If:
$$y'=F(x,y)$$
then:
$$y''=\frac{d}{dx}(y')$$
with every occurrence of $$y$$ differentiated using:
$$\frac{dy}{dx}=y'$$
Usage
- Used to determine concavity and extrema of implicitly defined curves.
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Second Derivative in Implicit Form
If:
$$y'=F(x,y)$$
then:
$$y''=\frac{d}{dx}(y')$$
with every occurrence of $$y$$ differentiated using:
$$\frac{dy}{dx}=y'$$
Usage
- Used to determine concavity and extrema of implicitly defined curves.
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