One
What are Derivatives?
A quick introduction to what derivatives are so that everything else makes sense.
Two
How does a computer take derivatives?
What is the general logic that allows a rather simple program to compute infinitely many derivatives?
Three
The Power Rule
The backbone of differentiation is the remarkably simple power rule. Understanding it fully is key.
Four
Exponentials and Logarithms
Two more functions that appear repeatedly in any Calculus course and have easy derivatives.
Five
Trigonometric Functions
Learn how to differentiate this versatile family of functions. You want to memorize these derivatives.
Six
Sum Rule and Constant Multiples
The easiest rule in Calculus is the sum rule so make sure you understand it.
Seven
Product Rule
Products are not as nice as sums, but learn the rule and differentiate any product.
Eight
Quotient Rule
The quotient rule is as straight-forward as the product rule, but you need to memorize a little bit more.
Nine
Chain Rule
If nothing else works then you're likely dealing with a composition of functions requiring the chain rule.
Ten
Logarithmic Differentiation
One final type of function requires logarithmic differentiation.