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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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25.
Derivatives
25.1
Definition of derivative
25.2
Power rule
25.3
Gradient and equation of tangent line
25.4
Chain rule
25.5
Derivative of trigonometric functions
25.6
Derivative of exponential functions
25.7
Product rule
25.8
Quotient rule
25.9
Implicit differentiation
25.10
Derivative of inverse trigonometric functions
25.11
Derivative of logarithmic functions
25.12
Higher order derivatives
Don't just watch, practice makes perfect
Practice topics for Derivatives
25.1
Definition of derivative
25.2
Power rule
25.3
Gradient and equation of tangent line
25.4
Chain rule
25.5
Derivative of trigonometric functions
25.6
Derivative of exponential functions
25.7
Product rule
25.8
Quotient rule
25.9
Implicit differentiation
25.10
Derivative of inverse trigonometric functions
25.11
Derivative of logarithmic functions
25.12
Higher order derivatives