568 prompts matching "A logarithmic equation with a single logarithm (Show That / Hence Find)"
Practice set: Differentiating x cubed 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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Word problem: The derivative of a profit function in a Nigerian business
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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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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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Practice set: Finding where a curve has a given gradient
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Teach me: Stationary points, and where the derivative is zero
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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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Practice set: Finding the maximum value a function reaches
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Teach me: What dy by dx means as a rate of change
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Practice set: Practice on two rates of change linked by a chain rule
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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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Spot my mistake: Forgetting the constant of integration in an indefinite integral
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Word problem: Recovering a distance function from a velocity function
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