1. Resources Home
  2. Secondary
  3. Mathematics
  4. Advanced pure
  5. Differentiation
Logarithms and Trigonometry Spot the Mistake

Logarithms and Trigonometry Spot the Mistake

I made this for my A Level (second year) students, to address misconceptions surrounding trigonometry, logs, natural logs and exponentials. In each case, I got them to explain what is wrong with each "solution", then work together to create a correct version.
ecrae
The chain rule

The chain rule

A worksheet on differentiating a function of a function using the chain rule. Detailed solutions are included. From https://placeformath.blogspot.com.cy/
math_w
Finding gradients using dx/dy

Finding gradients using dx/dy

This resource is designed to introduce the method of finding dx/dy and using this to work out the gradient of a curve. There are 3 examples to work through as a class - these will show that to differentiate a curve in some cases it is necessary to have the equation of the curve in the form x=f(y). There is then a short note to summarise the method and then 3 pages of examination-style questions for students to practise. Answers are included.
langy74
Quick worksheet on using chain rule

Quick worksheet on using chain rule

After teaching my classes how to differentiate using chain rule and giving them enough practice to feel confident about the method, I have used this worksheet to try to encourage them to use less time and steps. My classes enjoyed the challenge of trying to complete the sheet within the time - you can always amend the time limit for weaker/stronger groups. Solutions are attached. Note that this sheet assumes that students know how to differentiate the functions e^x and ln(x).
langy74
Differentiation Tangents and Normals Part 2

Differentiation Tangents and Normals Part 2

This worksheet contains some demanding questions on tangents and normals, suitable for more able students. Detailed typed answers are provided to every question. I hope you find it useful. You can get more free worksheets on many topics, mix and match, with detailed step-by-step solutions at http://www.onemathsquestions.com
joezhou
Differentiation 1 - Tangents and normals

Differentiation 1 - Tangents and normals

Two worksheets on tangents and normals, starts off standard, the difficulty increases, later questions can be challenging. As always, detailed solutions are provided to every question. I hope you find it useful. You can get more free worksheets on many topics, mix and match, with detailed step-by-step solutions at http://www.onemathsquestions.com
joezhou
Can you crack the code? Demanding AS Level revision - perfect for new spec - problem solving!!!

Can you crack the code? Demanding AS Level revision - perfect for new spec - problem solving!!!

For these lessons, I have a wooden box which I fill full of goodies (fruits, sweets etc). I then have a large metal chain wrapped around the box with a colourful padlock on (all of which builds the tension...). The aim is for the students to work away in pairs to crack the code! If you don't want to purchase the box etc, the worksheet works perfectly well on it's own. Note: the solution for this worksheet is 8224. This worksheet is a real challenge for your KS5 students - perfect for the new AS Level demands.
Mr_Luscombe_Maths
Erica's Errors On Differentiation 3

Erica's Errors On Differentiation 3

Erica got another homework to fine tune her differentiation skills regarding implicit functions, chain rule and second derivatives. Predictably it is not going entirely to plan. Can your students help Erica correct her mistakes and explain what she's done incorrectly. Designed for students to display understanding and cause discussion.
alutwyche
Erica's Errors On Differentiation 2

Erica's Errors On Differentiation 2

Erica is struggling whilst differentiating trigonometric functions, using the product, chain and quotient rules and parametric equations. She is desperate - please help her! Designed for students to demonstrate understanding and to encourage discussion.
alutwyche
Differentiation

Differentiation

16 Powerpoints presentation for the following topics: Limits and convergence Basic rules for derivative The equations of tangent and normal lines Basic rules of derivatives The derivative of e^x and the derivative of ln x The product rule The quotient rule The chain rule for composite functions The second derivative and higher order derivatives Rate of change Velocity and acceleration functions Relative and global extrema Concavity Sketching a graph Optimisation problems
oralhurt