Example 4-3-2 - Maple Help

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Chapter 4: Partial Differentiation



Section 4.3: Chain Rule



Example 4.3.2



 The composition of  $f\left(x,y\right)=\mathrm{sin}\left(2x-3y\right)$, with $x\left(t\right)=t+1/t$, $y\left(t\right)=t-1/t$ forms the function $F\left(t\right)=f\left(x\left(t\right),y\left(t\right)\right)$. Obtain $F\prime \left(t\right)$ by an appropriate form of the chain rule, and again by writing the rule for $F$ explicitly. Show that the results agree.







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