Related rates of change (HSC SSCE Mathematics Extension 1): Quizzes
📚Quizzes
Practise the questions
10 questions from this quiz
ShowHide
Practise the questions
10 questions from this quiz
What best defines related rates in calculus?
What best defines related rates in calculus?
Rates at which connected variables change
When is the chain rule used in related rates?
When is the chain rule used in related rates?
To differentiate composite functions
Why use implicit differentiation in related rates?
Why use implicit differentiation in related rates?
Differentiate without isolating variables
Differentiating V = (4/3)πr^3 yields dV/dt =
Differentiating V = (4/3)πr^3 yields dV/dt =
4π r^2 dr/dt
From dV/dt = 4π r^2 dr/dt, dr/dt equals:
From dV/dt = 4π r^2 dr/dt, dr/dt equals:
dV/dt ÷ (4π r^2)
Differentiating a^2 + b^2 = c^2 (c constant) gives:
Differentiating a^2 + b^2 = c^2 (c constant) gives:
2a da/dt + 2b db/dt = 0
If V = l w h with l,w constant, dh/dt equals:
If V = l w h with l,w constant, dh/dt equals:
dV/dt ÷ (l w)
Why is unit consistency important in related rates?
Why is unit consistency important in related rates?
Prevents incorrect magnitudes
Which is an example of a related rates problem?
Which is an example of a related rates problem?
Shadow length changing as person walks
For V = (4/3)πr^3 with dV/dt known, which gives dr/dt?
For V = (4/3)πr^3 with dV/dt known, which gives dr/dt?
dV/dt ÷ (4π r^2)