Basic Derivatives

Chain, Product, and Quotient Rule

• Chain Rule:
• Product Rule:
• Quotient Rule:

Parametric Equations

• In a parametric equation, x and y are given in terms of t and you must use the above rule to find the derivative.

Implicit Functions

• These represent circles or lines with circular curves, on a Cartesian plane.
• They are difficult to rearrange in the form y = …, hence, differentiate as is.
• Differentiate x terms as usual
• For y terms, differentiate the same as you would x but multiply with ^dy/_dx
• Then make ^dy/_dx the subject of the formula for the derivative