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- Differentiation
Product rule
- Lesson: 119:06
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

1.
Differentiate:
a) y=x5sinx
b) y=(6x2+x−4)5sin2x
a) y=x5sinx
b) y=(6x2+x−4)5sin2x
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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
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Practice topics for 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