The IB Math Teacher
  • IB Math survival guide πŸš‘
  • Formula booklets πŸ“š
  • Ace your IB Math exam in 10 weeks πŸ”₯
  • AA HL 🧠
  • AA SL 🧠
  • Cheat sheets 🎨
  • YouTube channel πŸ“Ή
Tutoring
🎒

Implicit differentiation and related rates

Implicit differentiation is a technique used to differentiate equations in which the dependent variable is not explicitly expressed as a function of the independent variable. Instead of rearranging the equation to isolate one variable, both sides are differentiated directly, applying the chain rule where necessary. In IB Mathematics, implicit differentiation is essential for working with relations such as circles, curves, and more complex algebraic equations. It also forms the foundation for topics such as related rates and curve analysis. Students must demonstrate careful application of differentiation rules, clear notation, and logical progression of steps to meet IB assessment criteria.

Start here

Start by downloading the cheat sheet and the vocabulary below. After that, move to the video lessons with their respective exercise lists.

image

Video lessons

Learn the content with the videos provided and reinforce your comprehension by practicing with the exercise list above.

image
πŸ“½οΈ
Three examples of implicit differentiation problems (easy, medium and hard)

Youtube video

Class notes

πŸ“½οΈ
The four types of implicit differentiation exercises you should know (for IB Math)

Youtube video

Class notes

Take the mock exams

It’s time to put your knowledge to the test with our mock exams β€” the closest experience you’ll get to the real IB Math exams. Note: read the instructions on taking mock exams here.

image

Join our Discord group

Learn from and collaborate with your peers. Coming soon. Join the waitlist here.

image
The IB Math Teacher

IB Math survival guide πŸš‘

Formula booklets πŸ“š

Ace your IB Math exam in 10 weeks πŸ”₯

AA HL 🧠

AA SL 🧠

Cheat sheets 🎨

YouTube channel πŸ“Ή

Tutoring πŸ‘¨πŸ»β€πŸ«

Disclaimer: The IB Math Teacher has been developed independently from and is not endorsed by the International Baccalaureate. International Baccalaureate is a registered trademark owned by the International Baccalaureate Organization.