The first worksheet introduces the method for finding the point(s) on a curve with a particular gradient. There are a few examples to work through as a class and then 16 questions for students to attempt.
The second worksheet focuses on finding stationary points. Again, it explains the method, has a few examples to work through as a class and then 20 questions for students to complete. The worksheet then has a section that can be used to explain how to determine the nature of a stationary point by considering the gradient of the curve just before/after the point. There are some examples to do as a class and then 8 questions for students to complete.
The final worksheet can be used to explain and practise using the second derivative for determining the nature of stationary points.
Answers to all exercises are included.
Note that this resource was designed specifically for the Level 2 Further Maths qualification, so only covers differentiating functions with positive integer powers such as y=5x^3-4x+2, but can still be used an introduction to the general method of finding stationary points on a curve.
The second worksheet focuses on finding stationary points. Again, it explains the method, has a few examples to work through as a class and then 20 questions for students to complete. The worksheet then has a section that can be used to explain how to determine the nature of a stationary point by considering the gradient of the curve just before/after the point. There are some examples to do as a class and then 8 questions for students to complete.
The final worksheet can be used to explain and practise using the second derivative for determining the nature of stationary points.
Answers to all exercises are included.
Note that this resource was designed specifically for the Level 2 Further Maths qualification, so only covers differentiating functions with positive integer powers such as y=5x^3-4x+2, but can still be used an introduction to the general method of finding stationary points on a curve.
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