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