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- 5.1 Concept of a Limit.
- 5.2 Graphical Interpretation.
- 5.3 Differentiation.
- 5.7 Second Derivative.

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Here are some related resources in alphabetical order. Some may only be appropriate for high-attaining learners while others will be useful for those in need of support. Click anywhere in the grey area to access the resource.

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

Here are some exam-style questions on this topic:

- "
*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 - "
*The following diagram shows part of the graph of \(y=f (x)\)*" ... more - "
*Let \(f(x) = \frac{ln3x}{kx} \) where \( x \gt 0\) and \( k \in \mathbf Q^+ \).*" ... 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 Scheme of Learning was produced by White Rose Maths and is used here with permission granted on 30th June 2021.