MAT135 (U OF T)
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    • 1: Functions
    • 2: Limits
    • 3: Derivatives Intro
    • 4: Calculating Derivatives
    • 5: Using Derivatives
    • 6: Area (Integration)
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MAT135 Unit 4: Calculating Derivatives


3.1 POWERS AND POLYNOMIALS
Derivative of a Constant Times a Function
Derivatives of Sums and Differences
Powers of x
Derivatives of Polynomials
The Tangent Line Approximation for Power Functions

3.2 THE EXPONENTIAL FUNCTIONS
Derivatives of Exponential Functions and e
A Formula for the Derivative of a^x

3.3 THE PRODUCT AND QUOTIENT RULES
The Product Rule
The Quotient Rule

3.4 THE CHAIN RULE
Intuition Behind the Chain Rule
The Derivative of a Composition of Function

3.5 THE TRIGONOMETRIC FUNCTIONS
Derivatives of the Sine and Cosine
Derivative of the Tangent Function

Informal Justification of d (sin x) = cos x / dx

3.6 THE CHAIN RULE AND INVERSE FUNCTIONS
Derivative of ln x

Derivative of a^x
Derivatives of Inverse Trigonometric Functions
Derivative of a General Inverse Function

3.7 IMPLICIT FUNCTIONS
Implicit Functions
this website is an experiment by Nathan Oldridge (aka ChemistNate)
  • Home
  • Menu: Units and Lessons
    • 1: Functions
    • 2: Limits
    • 3: Derivatives Intro
    • 4: Calculating Derivatives
    • 5: Using Derivatives
    • 6: Area (Integration)
  • Ask Me Stuff