482 prompts matching "Differentiating one over x from first principles"
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Final Revision: Checking an indicial solution by substitution
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Worked Example: Writing an index statement as a logarithm
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Spot My Mistake: The logarithm of the base itself
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Final Revision: The characteristic and the mantissa of a logarithm
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Worked Example: The law for the logarithm of a quotient
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Explain Back: Splitting a single logarithm into several
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Spot My Mistake: Evaluating an expression using the laws of logarithms
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Worked Example: Converting a logarithm to base ten so that tables can be used
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Explain Back: A logarithmic equation written in two different bases
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Spot My Mistake: A logarithm to base e, the natural logarithm
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Final Revision: Using change of base to prove a stated relation
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Explain Back: Spotting the pattern in a sequence of squares or cubes
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Spot My Mistake: A sequence defined by a recurrence relation
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Final Revision: Describing a sequence in words and then in symbols
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Worked Example: Finding the common difference of an arithmetic progression
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Final Revision: Inserting an arithmetic mean between two numbers
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Worked Example: The alternative sum formula that uses the last term
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Spot My Mistake: The sum of an arithmetic progression with a negative common difference
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Final Revision: A savings problem modelled by an arithmetic progression
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Worked Example: Finding the common ratio of a geometric progression
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