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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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61 prompts matching "functions"

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

Structured question: stating the domain of the inverse of a fractional function

You are my SS3 Further Mathematics tutor. Teach me stating the domain of the inverse of a

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WAEC Prep: Differentiating the square root of a function

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through differentiating th

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WAEC Prep: The chain rule for a function of a function

Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o

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WAEC Prep: The greatest and least values of a function in a closed interval

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the greatest and l

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WAEC Prep: Integrating a derivative to recover the original function

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through integrating a deri

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Final Revision: Sketching the graph of a logarithmic function

Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.

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Final Revision: Checking a symmetric-function answer by solving the equation outright

Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.

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Use the normal distribution function to find a probability #1

I am in SS 3. Give me a normal distribution problem where mean 50 and standard deviation 5

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Use the normal distribution function to find a probability #2

I am in SS 3. Give me a normal distribution problem where mean 100 and standard deviation

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Use the normal distribution function to find a probability #3

I am in SS 3. Give me a normal distribution problem where mean 60 and standard deviation 8

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Use the normal distribution function to find a probability #4

I am in SS 3. Give me a normal distribution problem where mean 70 and standard deviation 1

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Showing that fg(x) is not the same as gf(x)

I am in SS 3. Quiz me with 5 short Additional Maths questions on demonstrating with a spec

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Spot my mistake using the product rule

I am in SS 3. I differentiated a product of two functions but I think I mixed up the produ

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Worked example: differentiating using the quotient rule

I am in SS 3. Show me one fully worked example of differentiating a quotient of two functi

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The vertical line test

I am in SS 3. I attempted an Additional Maths question on the vertical line test for decid

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Restricting the domain so an inverse exists

I am in SS 3. Teach me restricting the domain of a many-to-one function, such as f(x) = x^

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Solving f(x) = a given value

I am in SS 3. Quiz me with 4 short Additional Maths questions on solving an equation of th

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WAEC exam question: solving f(x) = c for an unknown x

I am in SS 3. Give me a WAEC-style function question where I am given f(x) and a target ou

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Find the range of x for which y = x^3 - 3x is increasing

I am in SS 3. Give me the curve y = x^3 - 3x as a structured question asking for the range

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Structured question: trig equation with a coefficient inside the angle

I am in SS 3. Give me a structured trigonometric equation question where the angle inside

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