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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 "Rationalising a denominator of the form root a over root b"

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

Teach me the basics of differentiation

Act as my SS2 Further Maths tutor. Teach me the basic rules of differentiation for polynom

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Worked example: finding the gradient of a curve at a point

Act as my SS2 Further Maths tutor. Show me a full worked example of differentiating a poly

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Teach me multiplying two complex numbers in the form a plus bi

You are my SS2 Further Mathematics tutor. Teach me multiplying two complex numbers in the

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Teach me dividing complex numbers by rationalising with the conjugate

You are my SS2 Further Mathematics tutor. Teach me dividing complex numbers by rationalisi

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Teach me the finding the modulus of a complex number

You are my SS2 Further Mathematics tutor. Teach me finding the modulus of a complex number

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Teach me finding the determinant of a 2x2 matrix

Act as my SS2 Further Maths tutor. Teach me how to find the determinant of a 2x2 matrix an

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Teach me finding the determinant of a two by two matrix

You are my SS2 Further Mathematics tutor. Teach me the determinant of a two by two matrix,

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Teach me finding the magnitude of a vector

Act as my SS2 Further Maths tutor. Teach me how to find the magnitude of a vector using Py

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Teach me the dot product of two vectors

Act as my SS2 Further Maths tutor. Teach me how to calculate the dot product of two vector

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

Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation

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

Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation

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

Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation

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Worked example: find the modulus and argument of 3+4i

Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers

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

Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers

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Worked example: find the determinant of [[5,2],[3,4]]

Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem

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Worked example: find the inverse of [[2,1],[5,3]]

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Worked example: find the term in x^3 in the expansion of (2x-1)^6

Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem

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Worked example: find the coefficient of x^4 in the expansion of (1+3x)^7

Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem

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Worked example: write the converse, inverse and contrapositive of 'if a number is even, then it is divisible by 2'

Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo

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Real-life application of testing the validity of an argument

Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where testin

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