2,798 prompts matching "maxima and minima"
Cambridge-style question: quadratic formula derivation
I am in SS 2. Ask me to derive the quadratic formula from ax^2+bx+c=0 by completing the sq
WAEC exam question: symmetric functions of roots
I am in SS 2. Give me a WAEC-style Further Maths question asking for alpha^3+beta^3 or (al
Teach me solving quadratic inequalities
Teach me how to solve a quadratic inequality like x^2-5x+6>0 using a sketch of the curve a
Quiz me on quadratic inequalities
I am in SS 2. Quiz me with five short quadratic inequality questions of increasing difficu
Spot my mistake in a quadratic inequality solution
I am in SS 2. I will show you my working for solving a quadratic inequality. Check whether
Structured question: find coordinates of intersection points
I am in SS 2. Give me a multi-part question where I solve a linear-quadratic system and th
Structured question: classify a line-curve relationship
I am in SS 2. Give me three short parts, each with a different line and the same curve, as
Cambridge-style layout check: polynomial long division
I will show you my full long division layout for dividing a polynomial by a linear express
Structured question: find an unknown coefficient using the remainder theorem
Give me a structured Additional Maths question where a polynomial has an unknown coefficie
WAEC exam question: remainder theorem with two conditions
I am in SS 3. Give me a WAEC-style Further Maths question where a polynomial has two unkno
Structured question: solve a cubic equation fully
Give me a structured question where I factorise a cubic using the factor theorem and then
Teach me composite functions
Teach me what a composite function fg(x) means and how to find it, using function notation
Structured question: composite function with a restricted domain
Set me a structured question where a function has a restricted domain to make it one-to-on
Quiz me on function notation
Quiz me on reading and evaluating function notation such as f(3), fg(2), and f^-1(5) for g
Spot my mistake finding an inverse function
I will show you my working for finding the inverse of a function. Check whether I correctl
WAEC-style question on evaluating composite functions
I am in SS 3. Give me a WAEC Further Maths question involving evaluating a composite funct
Structured question: solve an exponential equation using indices
I am in SS 3. Give me a structured Additional Maths question where I solve an equation lik
Non-calculator paper: simplify an index expression
I am in SS 3. Give me a non-calculator Additional Maths question requiring me to simplify
Structured question: solve a logarithmic equation with two conditions
I am in SS 3. Give me a structured question where I solve a logarithmic equation and must
Cambridge-style question: change of base formula
I am in SS 3. Give me an Additional Maths question requiring the change of base formula to