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


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  • 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
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    39.
    Differentiation
    39.1
    Power rule
    39.2
    Slope and equation of tangent line
    39.3
    Chain rule
    39.4
    Derivative of trigonometric functions
    39.5
    Derivative of exponential functions
    39.6
    Product rule
    39.7
    Quotient rule
    39.8
    Derivative of logarithmic functions
    39.9
    Higher order derivatives
    39.10
    Rectilinear Motion: Derivative
    39.11
    Critical number & maximum and minimum values
    GCE O-Level A Maths
    Don't just watch, practice makes perfect.