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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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755 prompts matching "Applying the power rule to the integral of one over x"

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Worked Example: What makes two surds equal

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Explain Back: Why 2 root 3 and 5 root 3 count as similar surds

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Explain Back: Multiplying root a by root b

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Worked Example: Squaring both sides safely when solving a surd equation

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Quiz: Checking a surd equation for extraneous roots

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Common Mistakes: A surd equation that has no real solution

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Common Mistakes: A binary operation that is ordinary addition in disguise

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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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Explain Back: Showing distributivity fails by a counter-example

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Spot My Mistake: Checking distributivity from two operation tables

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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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Spot My Mistake: A negative fractional index

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Common Mistakes: Writing a root as a fractional index before simplifying

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Spot My Mistake: An indicial equation involving fractional bases

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Common Mistakes: An indicial equation solved by substitution

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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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