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AP Calc AB
HA2T
Mr. Patey
Why Math?!?
Sweet Links
Home
AP Calc AB
HA2T
Mr. Patey
Why Math?!?
Sweet Links
Chapter 3 Differentiation
3.1 Definition of the derivative
--Review of difference quotient
--Definition of the derivative part 1
--Definition of the derivative part 2
--Definition of the derivative part 3
3.2 The derivative as a function
--Derivative notation and finding where derivative is zero
--Finding the derivative at a given value
--Differentiability implies continuity
--Derivative of graphs part 1
--Derivative of graphs part 2
3.3 Product and quotient rules
--Product rule
--Quotient rule example 4
3.4 Rates of change
--Rate of change derivatives
3.5 Higher derivatives
--(no videos right now)
3.6 Trigonometric functions
--Derivative of sine proof
--Derivative of trig functions example 1
--Derivative of trig functions and using the product rule
3.7 The chain rule
--Chain rule example 1, 2, 3
--Chain rule example 5
--Chain rule DNA
--Chain rule word problem
--Chain rule example 6
3.8 Derivatives of inverse functions
--Derivative of inverse functions
--Derivative of inverse trig functions
--Derivative of inverse functions 2
--Derivative of inverse trig functions proof
3.9 Derivatives of general expo and log functions
--Proof of derivative of n
atural logarithm
--Using logs to take derivative of crazy expressions
--Derivative of natural logs with function inside
--Derivative of ln
--Finding the tangent line of an exponential functions
--Derivative of an exponential function
--Derivative of an exponential function formula proof
--Derivative of exponential function with a function in exponent
--Derivative of exponential function with a function in exponent 2
3.10 Implicit differentiation
--Implicit differentiation is the chain rule
--
Implicit differentiation example 1
--Implicit differentiation example 2
--Implicit differentiation example 3
--
Implicit differentiation example 1 (newer)
--Implicit differentiation example 2 (newer)
3.11 Related rates
--Related rates intro (also good intro for implicit differentiation)
--Another related rates intro
--Related rates water tank example 2
--
Related rates conical tank example 3
--
Related rates water tank example 4
--Related rates WS #1
--Related rates WS #4
Assignment Log
Handouts
--Derivative Study Sheet
--
Derivative Review with Solutions
--Implicit Differentiation
--Implicit Differentiation
Solutions
--Related Rates with Steps
--Related Rates with Steps Solutions
--Related Rates WS
--Related Rates WS Solutions
Activities
--Rocket Camera