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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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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
Don't just watch, practice makes perfect
Practice topics for 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