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Chain Rule, Log Differentiation & Rate of Change · Question 118 of 130

Question 118

MediumOriginal question

Read the two statements and choose the correct option.

I. If yy depends on xx and xx on tt, then dydt=dydx⋅dxdt\frac{dy}{dt} = \frac{dy}{dx} \cdot \frac{dx}{dt}.

II. A negative dydt\frac{dy}{dt} means yy is decreasing at that moment.

Options for question 118

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. I is the chain rule written for rates. True.

  2. II is what the sign of a rate means. True.

Concept
The language of rates
Typical time
90 s
Your time
—
The rule this testsRate of change of quantities
Practise this chapter →

Ten questions from Chain Rule, Log Differentiation & Rate of Change, at your own pace.

Practise this chapter →

Ten questions from Chain Rule, Log Differentiation & Rate of Change, at your own pace.