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=x5sinxy = {x^5}\sin x
    b) y=(6x2+x−4)5sin2xy = {\left( {6{x^2} + x - 4} \right)^5}\sin 2x
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    25.
    Limits and Derivatives
    25.1
    Finding limits from graphs
    25.2
    Definition of derivative
    25.3
    Power rule
    25.4
    Slope and equation of tangent line
    25.5
    Chain rule
    25.6
    Derivative of trigonometric functions
    25.7
    Derivative of exponential functions
    25.8
    Product rule
    25.9
    Quotient rule
    25.10
    Implicit differentiation
    25.11
    Derivative of inverse trigonometric functions
    25.12
    Derivative of logarithmic functions
    25.13
    Higher order derivatives
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