2,798 prompts matching "maxima and minima"
Show that command word: binomial coefficient identity
I am in SS 3. Set me a 'show that' question involving binomial coefficients, such as showi
Find the range of values command word: increasing function
I am in SS 3. Set me an exam question phrased 'find the range of values of x for which the
Show that command word: a function is its own inverse
I am in SS 3. Set me a 'show that' function question where I must show a given function is
Find and classify the stationary points of y = x^3 - 6x^2 + 9x + 1
I am in SS 3. Give me the curve y = x^3 - 6x^2 + 9x + 1 as a structured question: find dy/
Give me an exam formula sheet for line and curve tangency conditions
I am in SS 3. Build me a short formula sheet covering every formula I need for conditions
Multiplication law of indices
I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on the
Division law of indices
I am in SS 1. Teach me the division law of indices, simplifying an expression like y^9 div
Power of a power rule
I am in SS 1. Quiz me with 3 short Additional Maths questions on the power-of-a-power rule
Zero index rule
I am in SS 1. I'm going to explain the zero index rule, showing why any nonzero number rai
Negative indices as fractions
I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on nega
Negative indices in algebraic fractions
I am in SS 1. I attempted an Additional Maths question on simplifying an algebraic express
Fractional indices as roots
I am in SS 1. Teach me fractional indices, converting between root form and index form, su
Fractional indices with numerator above 1
I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi
Simplifying a mixed index expression
I am in SS 1. Quiz me with 3 short Additional Maths questions on simplifying an expression
Rewriting different bases as the same base
I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on simp
Solving index equations with matching bases
I am in SS 1. I'm going to explain solving an index equation by rewriting both sides with
Index equations reducing to a quadratic
I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi
Simplifying bracketed algebraic index expressions
I am in SS 1. Quiz me with 5 short Additional Maths questions on simplifying an expression
Evaluating index expressions without a calculator
I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on eval
Indices word problem: bacteria growth
I am in SS 1. Teach me a word problem where a quantity grows according to an index formula