552 prompts matching "Differentiating one over x from first principles"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Timed practice: five quadratic equations by factorisation
I am in SS 2. Give me five quadratic equations of increasing difficulty to solve by factor
Word problem leading to a factorable quadratic
I am in SS 2. Set me an Additional Maths style word problem, such as one about area or con
Spot the examiner's trick in a factorisation question
I am in SS 2. Give me a quadratic equation exam question that has a common trap, such as a
Structured question: complete the square then find the minimum
I am in SS 2. Give me a two-part structured question where I first complete the square for
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
Structured question: new equation with roots 1/alpha and 1/beta
I am in SS 2. Set me a multi-part question where I first find the sum and product of the r
Quiz me on quadratic inequalities
I am in SS 2. Quiz me with five short quadratic inequality questions of increasing difficu
Teach me composite functions
Teach me what a composite function fg(x) means and how to find it, using function notation
Explain Back: The zero product rule, and why it works
I have just studied the zero product rule, and why it works in my SS2 Further Mathematics
Spot My Mistake: Solving a quadratic that must be rearranged before factorising
Act as my SS2 Further Mathematics tutor. Work a question on solving a quadratic that must
Final Revision: A word problem solved by factorising a quadratic
Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of a
Worked Example: Halving the coefficient of x and squaring it
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on halvin
Explain Back: An answer left in surd form after completing the square
I have just studied an answer left in surd form after completing the square in my SS2 Furt
Spot My Mistake: Completing the square when the roots are not real
Act as my SS2 Further Mathematics tutor. Work a question on completing the square when the
Final Revision: Why completing the square always works
Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of w
Worked Example: Substituting a, b and c into the quadratic formula correctly
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on substi
Explain Back: Leaving the roots of a quadratic in surd form
I have just studied leaving the roots of a quadratic in surd form in my SS2 Further Mathem
Spot My Mistake: What the formula gives when the discriminant is nought
Act as my SS2 Further Mathematics tutor. Work a question on what the formula gives when th
Final Revision: A word problem solved with the quadratic formula
Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of a
Worked Example: The identity linking alpha squared plus beta squared to the sum and product
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on the id