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These are the Transum resources related to the statement: "Derivative of f(x)=ax^{n} is f'(x)=anx^{n-1}, The derivative of functions of the form fx=ax^{n}+bx^{n-1}+… where all exponents are integers".

Here are some specific activities, investigations or visual aids we have picked out. Click anywhere in the grey area to access the resource.

- Differentiation Practise the technique of differentiating polynomials with this self marking exercise.
- Differentiation Video A reminder of how to differentiate different types of functions and how to find the equations of tangents and normals.

Here are some exam-style questions on this statement:

- "
*A function is given as \(f(x)=3x^2-6x+4+\frac3x,-2\le x \le 4, x\ne 0\).*" ... more - "
*Consider the function \(f(x)=6 - ax+\frac 3{x^2},x\neq 0\)*" ... more - "
*Consider the cubic function \(f(x)=\frac{1}{6}x^3-2x^2+6x-2\)*" ... more - "
*Consider the function \(f(x)=x^3-9x+2\).*" ... more - "
*Let \(f(x)=jx^3+jx^2+kx+m\) where \(j, k\) and \(m\) are constants.*" ... more - "
*Consider the function \(f(x)=\frac{20}{x^2}+kx\) where \(k\) is a constant and \(x\neq0\).*" ... more

Click on a topic below for suggested lesson Starters, resources and activities from Transum.

This video on the Basics of Differentiation is from Revision Village and is aimed at students taking the IB Maths Standard level course

If you use a TI-Nspire GDC there are instructions useful for this topic.

How do you teach this topic? Do you have any tips or suggestions for other teachers? It is always useful to receive feedback and helps make these free resources even more useful for Maths teachers anywhere in the world. Click here to enter your comments.