Original
Consider the relation {{MATH_1}}. Implicitly differentiating with
respect to {{MATH_2}}, we seem to obtain {{MATH_3}}.
{{CMD_4}}
{{CMD_5}}This is a valid use of implicit differentiation{{CMD_6}}
{{CMD_7}}This is not a valid use of implicit differentiation{{CMD_8}}
{{CMD_9}}
Explain why or why not. Compare and contrast with the case of {{MATH_10}}.
{{CMD_11}}
{{CMD_12}}