755 prompts matching "Differentiating a product by multiplying the derivatives of its two factors"
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Explain Back: What it means for an operation to be associative
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Spot My Mistake: Testing (a*b)*c against a*(b*c)
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Quiz: Left distributivity and right distributivity
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Practice: Multiplication distributing over addition in ordinary arithmetic
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Spot My Mistake: Checking distributivity from two operation tables
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Practice: Why an identity element must work from both sides
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Explain Back: What an inverse element is
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Worked Example: Rewriting a negative index as a fraction
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Quiz: A negative index on a fraction, and turning it upside down
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Practice: A fractional index with numerator one, read as a root
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Explain Back: A fractional index with a numerator above one
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Spot My Mistake: A negative fractional index
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Worked Example: Solving an indicial equation where one side must be factorised first
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Quiz: An indicial equation that becomes a quadratic in a power
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Spot My Mistake: An indicial equation involving fractional bases
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Worked Example: Writing an index statement as a logarithm
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Quiz: Writing a logarithm as an index statement
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Practice: Combining two logarithms into one
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Explain Back: Splitting a single logarithm into several
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Worked Example: Converting a logarithm to base ten so that tables can be used
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