Implicit Differentiation (Edexcel A-Level Mathematics): Quizzes

📚Quizzes
Implicit Differentiation
Sign up to keep practising.Create a free account to play more quizzes and track your progress.

Practise the questions

10 questions from this quiz

Show

What is implicit differentiation used for?

Finding derivatives when yy not explicit

Which is an implicit function?

x2+y2=1x^2 + y^2 = 1

When is implicit differentiation commonly used?

For circles and ellipses

What is ddx(y2)\frac{d}{dx}(y^2)?

2ydydx2y \frac{dy}{dx}

For x2+y2=1x^2 + y^2 = 1, what is dydx\frac{dy}{dx}?

xy\frac{-x}{y}

Using product rule, what is ddx(xy)\frac{d}{dx}(xy)?

y+xdydxy + x \frac{dy}{dx}

First step in implicit differentiation?

Differentiate both sides w.r.t. xx

What is implicit differentiation used for?

Finding tangent and normal lines

How do you find stationary points?

Set dydx=0\frac{dy}{dx} = 0

If tangent gradient is 117\frac{-11}{7}, what is normal gradient?

711\frac{7}{11}

Join 100,000+ A-Level students studying Quizzes with us.

Select your subjects, and get access to A+ resources today.