1,246 prompts matching "Set theory laws: commutative and associative"
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Spot My Mistake: Deriving a multiple angle formula from de Moivre's theorem
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Learn: The cube roots of unity
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Practice: Why complex roots of a real quadratic come in conjugate pairs
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Practice: Differentiating x squared from first principles
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Worked Example: The quotient rule for differentiation
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Worked Example: Differentiating a bracket raised to a power
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Learn: Differentiating sin of a multiple of x
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Spot My Mistake: Classifying a stationary point by the second derivative
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Worked Example: Classifying a stationary point by the sign of the gradient either side
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Spot My Mistake: Finding the constant of integration from a given point
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Learn: Integrating a polynomial term by term
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Quiz: Why the power rule fails for the integral of one over x
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Learn: Finding displacement by integrating velocity
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Quiz: Using the initial conditions to fix the constants in a kinematics problem
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Learn: Connected rates of change through the chain rule
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Quiz: A rate of change problem about a vessel filling with water
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Quiz: Choosing which equation of motion to use
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Practice: A body thrown vertically upwards
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Quiz: The time of flight of a projectile
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Practice: The range of a projectile on level ground
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