Read the two statements and choose the correct option. I. If y = f(x), then dy/dx at x = a is the rate of change of y with respect to x at x = a. II. If x and y both change with time, dy/dt = dy/dx + dx/dt.

Rate of Change, Marginal Cost & Revenue · Question 9 of 79

Question 9

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Read the two statements and choose the correct option.
I. If $y = f(x)$ , then $\frac{dy}{dx}$ at $x = a$ is the rate of change of $y$ with respect to $x$ at $x = a$ .
II. If $x$ and $y$ both change with time, $\frac{dy}{dt} = \frac{dy}{dx} + \frac{dx}{dt}$ .

Only ICorrect answerYour answerOnly IICorrect answerYour answerBoth I and IICorrect answerYour answerNeither I nor IICorrect answerYour answer

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CorrectNot quiteAnswer A

Correct answer: A

I is what a derivative means. True.
II: the chain rule multiplies, $\frac{dy}{dt} = \frac{dy}{dx} \times \frac{dx}{dt}$ . False.

Ten questions from Rate of Change, Marginal Cost & Revenue, at your own pace.

Ten questions from Rate of Change, Marginal Cost & Revenue, at your own pace.