397 prompts matching "Corresponding angles where a transversal cuts two parallel lines"
Real-life Nigeria: Finding the gradient function of a given polynomial
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Teach me: The gradient of a curve as the gradient of its tangent
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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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Real-life Nigeria: The equation of the normal to a curve at a point
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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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Real-life Nigeria: Minimising the cost of a described Nigerian container
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Teach me: What dy by dx means as a rate of change
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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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Real-life Nigeria: A rate of change problem taken from Nigerian manufacturing
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Teach me: Integration as the reverse of differentiation
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Worked example: Integrating a polynomial term by term
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WAEC pitfalls: Dividing by the original index instead of the new one
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Real-life Nigeria: Finding a curve from its gradient function and one point on it
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Teach me: The definite integral and its limits
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Worked example: The area between a curve and the x-axis
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WAEC pitfalls: Ignoring an area that lies below the axis
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Real-life Nigeria: A total quantity found from a rate function over an interval
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