Suppose I have(adsbygoogle = window.adsbygoogle || []).push({});

F(x,y) and y=y(t) and x=x(t)

Therefore,

F_{t}= F_{x}*x_{t}+ F_{y}*y_{t}. Right?

Can I write

F_{tt}= (F_{xx}*x_{t}+ F_{yy}*y_{t})*x_{t}+ F_{x}*x_{tt}+ (F_{xx}*x_{t}+ F_{yy}*y_{t})*y_{t}+ F_{y}*y_{tt}

?

Basically I'm trying to figure out the second derivative by chain rule.

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# Multivariable Chain Rule

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