Original Promptcreat a booklet type pdf TUTORIAL for the topic DIFFERENTIATION. this should be for IGCSE FURTHER PURE MATHEMATICS subject. go with topicwise. questions from each subtopic. should be in pdf format to download
This learning resource covers essential differentiation techniques including the power, product, quotient, and chain rules. Students will gain an understanding of how to apply these methods to find the derivatives of functions, which denote instantaneous rates of change and the gradients of tangents to curves. The document includes detailed explanations, worked examples, independent practice problems, and applications involving tangents, normals, and stationary points. Additionally, it discusses the concepts of concavity and curvature through the second derivative, along with the identification of local maxima and minima using the second derivative test. Students will also engage with mixed practice tasks and error analysis to deepen their understanding.