482 prompts matching "Differentiating one over x from first principles"
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Learn: What closure means for a binary operation
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Quiz: Testing the odd numbers for closure under addition
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Practice: Testing a set for closure under multiplication
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Learn: What it means for an operation to be commutative
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Quiz: Reading commutativity off a symmetrical operation table
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Practice: An operation that is not commutative, with a counter-example
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Quiz: Left distributivity and right distributivity
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Learn: What an identity element is
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Quiz: The law for dividing powers of the same base
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Practice: The law for a power raised to another power
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Quiz: A negative index on a fraction, and turning it upside down
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Learn: Solving an equation by writing both sides to the same base
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Quiz: An indicial equation that becomes a quadratic in a power
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Practice: Solving 2 to the power x equals 32
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Learn: The definition of a logarithm as the index
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Quiz: Writing a logarithm as an index statement
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Practice: Evaluating log to base 2 of 8
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Learn: The law for the logarithm of a product
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Quiz: The law for the logarithm of a power
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Learn: The change of base formula
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