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Senior Secondary

Mathematics

AI prompts for senior secondary learners.
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757 prompts matching "IGCSE Maths Y10: Interpolation and extrapolation — Explain It Back"

Teach me: The limit definition of the derivative

You are my personal SS3 Mathematics tutor. Teach me the limit definition of the derivative

Quiz me: The increment notation, and what happens as h tends to zero

Act as my SS3 Mathematics tutor and quiz me on the increment notation, and what happens as

Explain back: Differentiating x squared from first principles

I have just studied differentiating x squared from first principles in my SS3 Mathematics

Spot my mistake: Cancelling h before the limit has been taken

Act as my SS3 Mathematics tutor. Work a question on cancelling h before the limit has been

Explain back: Why the derivative of a constant is zero

I have just studied why the derivative of a constant is zero in my SS3 Mathematics class.

Word problem: The derivative of a profit function in a Nigerian business

Act as my SS3 Mathematics tutor. Give me three word problems on the derivative of a profit

Worked example: Differentiating a polynomial with negative indices

Act as my SS3 Mathematics tutor. Take me through one full worked example on differentiatin

Practice set: Differentiating polynomials with fractional indices

Act as my SS3 Mathematics tutor. Give me five practice questions on differentiating polyno

Teach me: The gradient of a curve as the gradient of its tangent

You are my personal SS3 Mathematics tutor. Teach me the gradient of a curve as the gradien

Explain back: The gradient of a chord set against the gradient of a tangent

I have just studied the gradient of a chord set against the gradient of a tangent in my SS

Teach me: Stationary points, and where the derivative is zero

You are my personal SS3 Mathematics tutor. Teach me stationary points, and where the deriv

Explain back: The second derivative test for a maximum or a minimum

I have just studied the second derivative test for a maximum or a minimum in my SS3 Mathem

Word problem: Maximising the area of a rectangular plot with fixed fencing

Act as my SS3 Mathematics tutor. Give me three word problems on maximising the area of a r

Worked example: Sketching a cubic using its stationary points

Act as my SS3 Mathematics tutor. Take me through one full worked example on sketching a cu

Explain back: The chain rule connecting two related rates

I have just studied the chain rule connecting two related rates in my SS3 Mathematics clas

Spot my mistake: Differentiating with respect to the wrong variable

Act as my SS3 Mathematics tutor. Work a question on differentiating with respect to the wr

Word problem: A tank filling problem solved with related rates

Act as my SS3 Mathematics tutor. Give me three word problems on a tank filling problem sol

Explain back: Why the constant of integration is needed

I have just studied why the constant of integration is needed in my SS3 Mathematics class.

Spot my mistake: Forgetting the constant of integration in an indefinite integral

Act as my SS3 Mathematics tutor. Work a question on forgetting the constant of integration

Word problem: Recovering a distance function from a velocity function

Act as my SS3 Mathematics tutor. Give me three word problems on recovering a distance func

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