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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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482 prompts matching "Differentiating one over x from first principles"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

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

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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

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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

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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

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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

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