Calculus: differentiation rules

Explain each rule through a simple example.

How to study this source

• How can we reason about continuous change?

  backgroundNamed section and worked examples

  Explain each rule through a simple example.

Ideas and questions

Read background definitions when a term blocks the argument. Then return to the source and reconstruct its claim in your own words.

Read alongside, read against

• Calculus: tangent lines and velocity

  Gilbert Strang · Edwin Herman. Compare assumptions, evidence and scope with the source above. These are editorial companions, not necessarily direct responses.

• Calculus: the limit of a function

  Gilbert Strang · Edwin Herman. Compare assumptions, evidence and scope with the source above. These are editorial companions, not necessarily direct responses.

• Calculus: limit laws

  Gilbert Strang · Edwin Herman. Compare assumptions, evidence and scope with the source above. These are editorial companions, not necessarily direct responses.

• Calculus: continuity

  Gilbert Strang · Edwin Herman. Compare assumptions, evidence and scope with the source above. These are editorial companions, not necessarily direct responses.

• Calculus: precise definition of a limit

  Gilbert Strang · Edwin Herman. Compare assumptions, evidence and scope with the source above. These are editorial companions, not necessarily direct responses.