738 prompts matching "Cancelling an algebraic fraction only after both parts are factorised (IGCSE)"
Real-life Nigeria: Why first principles justifies the power rule
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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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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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Real-life Nigeria: Finding the gradient function of a given polynomial
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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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WAEC pitfalls: Substituting into the original function instead of the derivative
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Practice set: Finding where a curve has a given gradient
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Real-life Nigeria: The equation of the normal to a curve 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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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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Practice set: Finding the maximum value a function reaches
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Spot my mistake: Differentiating with respect to the wrong variable
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Worked example: A ladder sliding down a wall as a related-rate problem
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