Product rule

Product rule

In this section, we will learn how to differentiate functions that result from the product of at least two distinct functions using the Product Rule. There are many memory tricks out there that help us remember the Product Rule, the song "hi-de-lo, lo-de-hi", for instance. But since we think they are still a bit too long, we will introduce you a much shorter, cleaner, cooler version – "d.o.o.d" (pronounced as "dude").

Lessons


product rule memory trick: d.o.o.d> </br></div><ul class=
  • 1.
    Differentiate:
    a) y=x5sin⁡xy = {x^5}\sin x
    b) y=(6x2+x−4)5sin⁡2xy = {\left( {6{x^2} + x - 4} \right)^5}\sin 2x
    • Do better in math today
    Get Started Now
    41.
    Differentiation
    41.1
    Power rule
    41.2
    Slope and equation of tangent line
    41.3
    Chain rule
    41.4
    Derivative of trigonometric functions
    41.5
    Derivative of exponential functions
    41.6
    Product rule
    41.7
    Quotient rule
    41.8
    Derivative of logarithmic functions
    41.9
    Higher order derivatives
    41.10
    Rectilinear Motion: Derivative
    41.11
    Critical number & maximum and minimum values
    GCE O-Level A Maths
    Don't just watch, practice makes perfect