757 prompts matching "IGCSE Maths Y10: Choosing between primary and secondary data for a study — Show"
Worked example: Differentiating a linear function from first principles
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Real-life Nigeria: Why first principles justifies the power rule
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Explain back: Why the derivative of a constant is zero
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Worked example: Differentiating a polynomial with negative indices
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Real-life Nigeria: Finding the gradient function of a given polynomial
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Explain back: The gradient of a chord set against the gradient of a tangent
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Worked example: Finding the equation of a tangent at a point
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Real-life Nigeria: The equation of the normal to a curve at a point
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Explain back: The second derivative test for a maximum or a minimum
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Worked example: Sketching a cubic using its stationary points
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Real-life Nigeria: Minimising the cost of a described Nigerian container
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Explain back: The chain rule connecting two related rates
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Worked example: A ladder sliding down a wall as a related-rate problem
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Real-life Nigeria: A rate of change problem taken from Nigerian manufacturing
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Explain back: Why the constant of integration is needed
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Worked example: Integrating a polynomial term by term
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Explain back: Why the constant of integration cancels in a definite integral
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Real-life Nigeria: A total quantity found from a rate function over an interval
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Real-life Nigeria: The resultant velocity of a boat crossing a river
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Explain back: The midpoint of a line segment in vector form
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