Podcast
Play an AI-generated podcast conversation about this lesson
Questions and Answers
When differentiating a linear inequality in two variables, what is the key difference compared to differentiating a linear equation in two variables?
When differentiating a linear inequality in two variables, what is the key difference compared to differentiating a linear equation in two variables?
- The derivative of an inequality is always positive
- The derivative of an inequality is always negative
- The inequality sign remains the same when solving for the derivative
- The inequality sign may change when solving for the derivative (correct)
For the linear inequality $2x - 3y > 6$, what is the correct form of the derivative with respect to $x$?
For the linear inequality $2x - 3y > 6$, what is the correct form of the derivative with respect to $x$?
- $-3$
- $-\frac{3}{2}$
- $\frac{3}{2}$
- $2$ (correct)
When differentiating a linear equation in two variables, what is a common misconception?
When differentiating a linear equation in two variables, what is a common misconception?
- The derivative of a constant term is always $0$ (correct)
- The derivative will always have the same variables as the original equation
- The derivative of a linear equation is undefined
- The derivative will always result in a linear equation
