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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "Explain the difference between differentiation and integration"

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

Solve the logarithmic equation log3(x^2) - log3(x+2) = 1

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Solve the logarithmic equation log5(x+3) + log5(2) = 2

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Simplify the surd expression sqrt(72) + sqrt(18)

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Simplify the surd expression sqrt(50) - sqrt(8)

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Simplify the surd expression (3+sqrt2)(3-sqrt2)

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Simplify the surd expression 5/(1+sqrt3)

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Simplify the surd expression (2+sqrt5)^2

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

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Worked example: solve x^2+4x+13=0 giving the roots as complex numbers

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Worked example: find AB where A = [[1,2],[3,4]] and B = [[2,0],[1,3]]

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Worked example: find A+B and A-B where A = [[1,-2],[3,0]] and B = [[4,1],[-2,5]]

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Worked example: expand (1-x)^4 fully and use it to estimate (0.98)^4

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Give me a 5-minute recap of completing the square

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Give me a 5-minute recap of the quadratic formula

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Give me a 5-minute recap of the remainder theorem

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Give me a 5-minute recap of the factor theorem

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Give me a 5-minute recap of propositions and compound statements

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Give me a 5-minute recap of converse and inverse propositions

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Give me a 5-minute recap of the binomial theorem

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