482 prompts matching "Differentiating one over x from first principles"
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Worked Example: Testing the even numbers for closure under addition
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Explain Back: Testing the integers for closure under division
I have just studied testing the integers for closure under division in my SS1 Further Math
Spot My Mistake: Reading closure off an operation table
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Final Revision: Why closure is checked before any other property
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Worked Example: Testing a*b against b*a for a given rule
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Explain Back: What it means for an operation to be associative
I have just studied what it means for an operation to be associative in my SS1 Further Mat
Spot My Mistake: Testing (a*b)*c against a*(b*c)
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Final Revision: Why brackets matter when an operation is not associative
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Explain Back: Showing distributivity fails by a counter-example
I have just studied showing distributivity fails by a counter-example in my SS1 Further Ma
Explain Back: What an inverse element is
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Spot My Mistake: Finding the inverse of a given element
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Final Revision: Identity and inverse together, and what they give the set
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Worked Example: The law for multiplying powers of the same base
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Explain Back: The law for a product raised to a power
I have just studied the law for a product raised to a power in my SS1 Further Mathematics
Spot My Mistake: The law for a quotient raised to a power
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Final Revision: Evaluating a numerical expression using the index laws
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Worked Example: Rewriting a negative index as a fraction
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Spot My Mistake: A negative fractional index
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Final Revision: Converting an answer back out of index form
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Spot My Mistake: An indicial equation involving fractional bases
Act as my SS1 Further Mathematics tutor. Work a question on an indicial equation involving