515 prompts matching "Applying two index laws inside one expression"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Quiz me on the whole term's Further Maths topics
Act as my SS2 Further Maths tutor. Quiz me with one question from each major topic I've co
Solve the logarithmic equation log2(x) + log2(x-2) = 3
Act as my SS2 Further Maths tutor. Show me step by step how to solve log2(x) + log2(x-2) =
Solve the logarithmic equation log(x+1) - log(x-1) = 2
Act as my SS2 Further Maths tutor. Show me step by step how to solve log(x+1) - log(x-1) =
Solve the logarithmic equation 2log(x) = log(x+6) + log(4)
Act as my SS2 Further Maths tutor. Show me step by step how to solve 2log(x) = log(x+6) +
Solve the logarithmic equation log3(x^2) - log3(x+2) = 1
Act as my SS2 Further Maths tutor. Show me step by step how to solve log3(x^2) - log3(x+2)
Solve the logarithmic equation log5(x+3) + log5(2) = 2
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Worked example: differentiate y = 3x^4 - 2x^3 + x - 7
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
Worked example: find the gradient of y = x^3 - 4x at the point where x = 2
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Worked example: find the equation of the tangent to y = x^2 - 5x + 6 at the point where x = 1
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Worked example: differentiate y = (2x-1)(x+3) after expanding it first
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Hence solve command word: quadratic equations
I am in SS 2. Explain what 'hence solve' means in an exam question, using an example where
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
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
Deduce command word: minimum value from completed square
I am in SS 2. Explain the command word 'deduce' with an example where completing the squar
Discriminant classification exam question
I am in SS 2. Give me a short structured question where I must use the discriminant to sta
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
Non-calculator paper: subtract polynomials and state the degree
Set me a non-calculator question where I subtract one polynomial from another, simplify, a
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