Differentiation covers;

• Understand and use the derivative of f(x) as the gradient of the tangent to the graph of y=f(x) at a general point (x,y) including;
• the gradient of a tangent as a limit;
• interpretation as a rate of change;
• sketching the gradient function for a given curve
• differentiation from first principles for small positive integer powers of n
• Differentiate x^n , for rational values of n , and related constant multiples, sums and differences
• Second derivative including understanding and using it as the rate of change of gradient
• Apply differentiation to find gradients, tangents and normals, maxima and minima and stationary points.
• Identify where functions are increasing or decreasing.

This PowerPoint can be used alongside my other lessons to cover topics for your Algebra 2, PreCalculus and Calculus course. Together all the PowerPoints include;

• A complete set of notes for students
• Model examples
• Probing questions to test understanding
• Class questions and exercises including answers
• Individual whiteboard work