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Section 13.5 : Differentials
1. Compute the differential of the following function.
\[z = {x^2}\sin \left( {6y} \right)\] Show SolutionNot much to do here. Just recall that the differential in this case is,
\[dz = {z_x}\,dx + {z_y}\,dy\]The differential is then,
\[\require{bbox} \bbox[2pt,border:1px solid black]{{dz = 2x\sin \left( {6y} \right)\,dx + 6{x^2}\cos \left( {6y} \right)\,dy}}\]