757 prompts matching "IGCSE Maths Y10: Interpolation and extrapolation — Explain It Back"
Worked example: Differentiating a linear function from first principles
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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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Spot my mistake: Forgetting to reduce the index by one
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Quiz me: Evaluating the derivative at a given value of x
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Spot my mistake: Reading the gradient off the curve instead of off the derivative
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Word problem: The steepness of a described road modelled by a curve
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Worked example: Finding the equation of a tangent at a point
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Quiz me: Solving the derivative equal to zero to locate stationary points
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Spot my mistake: Calling every stationary point a maximum
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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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Teach me: Integration as the reverse of differentiation
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Quiz me: The rule for integrating a power of x
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Worked example: Integrating a polynomial term by term
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Word problem: The area of a described plot bounded by a curve
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Word problem: Dividing a line in a given ratio using vectors
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Teach me: A translation described by a column vector
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Quiz me: Finding the image of a point under a translation
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