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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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104 prompts matching "functions"

IGCSE Additional Maths Y11: Finding a curve from its gradient function and one point — Common Mistakes

I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Show me the mistake ca

IGCSE Additional Maths Y11: A definite integral of a trigonometric function — IGCSE Exam Practice

I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Set me a past-paper-st

IGCSE Additional Maths Y11: A definite integral of an exponential function — Show All Working

I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Set me a question on a

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

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

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

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

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

Quiz me on basic differentiation

Act as my SS2 Further Maths tutor. Quiz me with five polynomial functions and ask me to di

Structured question: find fg(x) and gf(x)

Give me a structured question with two given functions f and g, asking me to find fg(x) an

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

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

The vertical line test

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

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^

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

Teach me the basics of differentiation

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

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

Spot my mistake differentiating a polynomial

Act as my SS2 Further Maths tutor. I differentiated a polynomial function but I think I ma

Structured question: find f^-1(x) and verify it

Set me a structured question where I find the inverse of a given function, then verify my

State the domain and range command word

Give me a function question phrased 'state the domain and range', for a function with a re

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