Calculus  Differentiation  Main page.
Differentiation is the calculus technique for finding the gradient function of an equation.
From this page, you link to all the resources for differentiation of usual functions of x.
References to differentiation of special functions are found elsewhere through:
trigonometric differentiation;  exponential differentiation;  logarithmic differentiation;  mixed functions. 
Resources for integration are accessed from the main menu above or from this hyperlink (because I make it easy for you).
Differentiation resources accessed from this page are:
1. Differentiation by First Principles. 
2. Basic techniques of differentiation. 
3. The Chain Rule. 
4. The Product Rule. 
5. The Quotient Rule. 
6. Applications of Calculus
(Gradients, tangents and concavity). 
7. Implicit Differentiation. 
8. Graphing derivative functions. 
Learning area.  Resource 
1. Differentiation by First Principles.  
First Principles  Test Yourself 1.  
First Principles  Solutions for Test Yourself 1.  
2. Basic techniques of differentiation.  
Basic techniques  Test Yourself 1.  
Basic techniques  Test Yourself 1 Solutions.  
Basic techniques  Test Yourself 2.  
3. The Chain Rule.
The Chain Rule is the first of the three principal techniques used to differentiate a function  after straightforward techniques. The structure of a function to which we apply the Chain Rule comprises:


Chain Rule  Test Yourself 1.  
Chain Rule  Test Yourself 1  Solutions.  
Chain Rule  Test Yourself 2.  
Chain Rule  Test Yourself 2  Solutions.  
4. The Product Rule.
The Product Rule is the second of the three principal techniques used to differentiate a function  after the straightforward techniques. We recognise the structure of a function to which we would apply the Product Rule as comprising:


Product Rule  Test Yourself 1.  
Product Rule  Solutions for Test Yourself 1.  
Product Rule  Test Yourself 2.  
5. The Quotient Rule.  
Quotient Rule  Test Yourself 1.  
Quotient Rule  Solutions for Test Yourself 2.  
Quotient Rule  Test Yourself 2.  
6. Applications of Differentiation.  
First derivative.  Gradients, tangents and normals  Test Yourself 1. 
Gradients, tangents and normals  Test Yourself 1  solutions. 

Gradients, tangents and normals  Test Yourself 2. 

Gradients, tangents and normals  Test Yourself 2  solutions. 

Second derivative.  Concavity  a note on concept and use. 
Concavity  Test Yourself 1.  
Concavity  Test Yourself 1  Solutions.  
Major maximum and minimum questions.  Link to this page to reference various types of maximum/minimum questions including:

7. Implicit Differentiation.  
Implicit Differentiation  Test Yourself 1.  
Implicit Differentiation  Test Yourself 1  Solutions. 

8. Graphing derivative functions.  
Drawing derivative curves from equations and graphs  Test Yourself 1.  
Drawing derivative curves from equations and graphs  Test Yourself 1  Solutions.  
Derivative curves  interpreting diagrams and statements  Test Yourself 1.  
Derivative curves  interpreting diagrams and statements  Test Yourself 1  Solutions.  
Drawing primitives from derivative curves  Test Yourself 1.  
Drawing primitives from derivative curves  Test Yourself 1  Solutions.  
9. Differential equations.  
Differential equations  Test Yourself 1.  
Differential equations  Test Yourself 1  Solutions. 