268 prompts matching "Practice: Enlarging with a fractional scale factor"
Teach me: The power rule for differentiation
You are my personal SS3 Mathematics tutor. Teach me the power rule for differentiation, wo
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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Teach me: The gradient of a curve as the gradient of its tangent
You are my personal SS3 Mathematics tutor. Teach me the gradient of a curve as the gradien
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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Teach me: Stationary points, and where the derivative is zero
You are my personal SS3 Mathematics tutor. Teach me stationary points, and where the deriv
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
You are my personal SS3 Mathematics tutor. Teach me what dy by dx means as a rate of chang
Quiz me: Relating the rate of change of volume to that of radius
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Teach me: Integration as the reverse of differentiation
You are my personal SS3 Mathematics tutor. Teach me integration as the reverse of differen
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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Teach me: The definite integral and its limits
You are my personal SS3 Mathematics tutor. Teach me the definite integral and its limits,
Quiz me: Evaluating a definite integral between two limits
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Spot my mistake: Subtracting the limits in the wrong order
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Quiz me: Writing a vector in component form
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Spot my mistake: Adding vectors by adding their magnitudes
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Teach me: The position vector of a point relative to the origin
You are my personal SS3 Mathematics tutor. Teach me the position vector of a point relativ