Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →41 prompts matching "differentiation"
Quiz me: calculus differentiation rules
I am in SS 3. Quiz me with three short differentiation questions, one needing the product
Subscribe to unlock allTeach me integration by recognising the reverse of differentiation
I am in SS 3. Teach me how to think of integration as the reverse of differentiation, usin
Subscribe to unlock allQuiz me on basic differentiation
Act as my SS2 Further Maths tutor. Quiz me with five polynomial functions and ask me to di
Subscribe to unlock allGive me practice on differentiation and stationary points
Act as my SS2 Further Maths tutor. Give me six practice questions on differentiating polyn
Subscribe to unlock allExplain differentiation back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to differentiate a pol
Subscribe to unlock allWorked example: differentiate y = 3x^4 - 2x^3 + x - 7
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
Subscribe to unlock allWorked example: find the gradient of y = x^3 - 4x at the point where x = 2
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
Subscribe to unlock allWorked example: find the stationary points of y = x^3 - 3x^2 - 9x + 5 and classify each one
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
Subscribe to unlock allWorked example: find the equation of the tangent to y = x^2 - 5x + 6 at the point where x = 1
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
Subscribe to unlock allWorked example: differentiate y = (2x-1)(x+3) after expanding it first
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
Subscribe to unlock allStructured question: find the equation of a normal to a curve
I am in SS 3. Set me a structured question where I find the gradient of a tangent by diffe
Subscribe to unlock allStructured question: find and classify all stationary points
I am in SS 3. Set me a structured differentiation question where a cubic curve has two sta
Subscribe to unlock allWAEC exam question: rate of change problem
I am in SS 3. Give me a WAEC-style Further Maths question involving a rate of change, such
Subscribe to unlock allDifferentiate y = 4x^3 - 6x^2 + 2x - 9 and evaluate the gradient at x=1
I am in SS 3. Give me the curve y = 4x^3 - 6x^2 + 2x - 9 as a structured differentiation q
Subscribe to unlock allFind the tangent to y = x^2 - 4x + 7 at x = 3
I am in SS 3. Give me the curve y = x^2 - 4x + 7 as a structured question: find the gradie
Subscribe to unlock allStructured question: stationary point on a curve with an unknown constant
I am in SS 3. Give me a structured differentiation question where a curve contains an unkn
Subscribe to unlock allStructured question: curve sketching using stationary points
I am in SS 3. Give me a structured question where I find the stationary points of a cubic
Subscribe to unlock allGive me a mixed revision pack blending three topics
I am in SS 3. Give me a short mixed revision pack of three linked questions that blend qua
Subscribe to unlock allTeach me the chain rule with an example
I am in SS 3. Teach me the chain rule for differentiation as if I've never used it, with o
Subscribe to unlock allWAEC past-question practice: calculus #1
I am in SS 3. Give me a WAEC Further Mathematics past-question on differentiation using th
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