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Second Derivative in Parametric Form
For:
$$x=f(t),\quad y=g(t)$$
$$\frac{d^2y}{dx^2}=\frac{1}{dx/dt}\frac{d}{dt}\left(\frac{dy}{dx}\right)$$
Usage
- Used to determine concavity and curvature behaviour of parametric curves.
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Second Derivative in Parametric Form
For:
$$x=f(t),\quad y=g(t)$$
$$\frac{d^2y}{dx^2}=\frac{1}{dx/dt}\frac{d}{dt}\left(\frac{dy}{dx}\right)$$
Usage
- Used to determine concavity and curvature behaviour of parametric curves.
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