The differential of the equation P = 10 + 3Q

Name: The differential of the equation P = 10 + 3Q - Q2 is _____.
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Question

The differential of the equation P = 10 + 3Q - Q2 is _____.

Quizplus · Accepted Answer

The differential of the equation $P = 10 + 3Q - Q^2$ with respect to $Q$ is found by taking the derivative of the right-hand side with respect to $Q$. The derivative of $10$ is $0$, the derivative of $3Q$ is $3$, and the derivative of $-Q^2$ is $-2Q$. Adding these together gives $3 - 2Q$.