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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,044 prompts matching "Laws of indices with three different bases in one line"

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Summarise logarithms and indices for quick revision

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Worked example: find the gradient of y = x^3 - 4x at the point where x = 2

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Worked example: find the stationary points of y = x^3 - 3x^2 - 9x + 5 and classify each one

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Worked example: find the equation of the tangent to y = x^2 - 5x + 6 at the point where x = 1

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Worked example: differentiate y = (2x-1)(x+3) after expanding it first

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Learn: Factorising a quadratic whose coefficient of x squared is one

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Quiz: Factorising a difference of two squares in order to solve it

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Learn: Making the coefficient of x squared equal to one first

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WAEC Prep: The minimum value of a quadratic found by completing the square

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Quiz: A negative value of b in the quadratic formula

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Learn: The sum of the roots as minus b over a

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Spot My Mistake: Finding a missing coefficient from a stated product of roots

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Show All Working: Forming an equation whose roots are three alpha and three beta

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Learn: Making one unknown the subject of the linear equation

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Quiz: The condition for two points of intersection

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Spot My Mistake: Finding the values of c for which a line is a tangent

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WAEC Prep: Finding the values of m for which a line cuts a curve twice

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Common Mistakes: A line and a curve meeting once without the line being a tangent

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Learn: Setting out the division of a cubic by a linear expression

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WAEC Prep: Dividing by a factor of the form ax plus b

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