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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    17.
    Derivatives
    17.1
    Definition of derivative
    17.2
    Power rule
    17.3
    Gradient and equation of tangent line
    17.4
    Chain rule
    17.5
    Derivative of trigonometric functions
    17.6
    Derivative of exponential functions
    17.7
    Product rule
    17.8
    Quotient rule
    17.9
    Implicit differentiation
    17.10
    Derivative of inverse trigonometric functions
    17.11
    Derivative of logarithmic functions
    17.12
    Higher order derivatives
    Higher 2 Maths
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