Example 4-3-7 - Maple Help
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Chapter 4: Partial Differentiation

Section 4.3: Chain Rule

Example 4.3.7

The composition of fx,y,z=x2+y2+z2 with xr,s=ⅇrcoss, yr,s=ⅇrsins, zr,s=rs forms the function Fr,s=fxr,s,yr,s,zr,s. Obtain the partial derivatives Fr and Fs by appropriate forms of the chain rule, and again by writing the rule for F explicitly. Show that the results agree.

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