748 prompts matching "IGCSE practice: Carrying out one transformation and then another"
Exam timing: A timed set of first-principles derivations
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Teach me: The power rule for differentiation
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Quiz me: Differentiating a sum of powers term by term
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Worked example: Differentiating a polynomial with negative indices
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WAEC pitfalls: Differentiating a product as though it were a sum
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Exam timing: A timed set of polynomial differentiations
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Teach me: The gradient of a curve as the gradient of its tangent
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Quiz me: Evaluating the derivative at a given value of x
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Worked example: Finding the equation of a tangent at a point
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WAEC pitfalls: Substituting into the original function instead of the derivative
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Exam timing: A timed set of gradient-at-a-point questions
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Quiz me: Solving the derivative equal to zero to locate stationary points
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Worked example: Sketching a cubic using its stationary points
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WAEC pitfalls: Omitting to test the nature of a stationary point
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Teach me: What dy by dx means as a rate of change
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Quiz me: Relating the rate of change of volume to that of radius
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Worked example: A ladder sliding down a wall as a related-rate problem
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WAEC pitfalls: Substituting the numbers before differentiating
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Exam timing: A timed set of rate of change problems
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Teach me: Integration as the reverse of differentiation
You are my personal SS3 Mathematics tutor. Teach me integration as the reverse of differen