747 prompts matching "Why completing the square works"
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
Worked example: Differentiating a linear function from first principles
Act as my SS3 Mathematics tutor. Take me through one full worked example on differentiatin
Teach me: The power rule for differentiation
You are my personal SS3 Mathematics tutor. Teach me the power rule for differentiation, wo
Spot my mistake: Forgetting to reduce the index by one
Act as my SS3 Mathematics tutor. Work a question on forgetting to reduce the index by one
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
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Real-life Nigeria: Finding the gradient function of a given polynomial
Act as my SS3 Mathematics tutor. Show me where finding the gradient function of a given po
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
Spot my mistake: Reading the gradient off the curve instead of off the derivative
Act as my SS3 Mathematics tutor. Work a question on reading the gradient off the curve ins
Word problem: The steepness of a described road modelled by a curve
Act as my SS3 Mathematics tutor. Give me three word problems on the steepness of a describ
Real-life Nigeria: The equation of the normal to a curve at a point
Act as my SS3 Mathematics tutor. Show me where the equation of the normal to a curve at a
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
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
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Practice set: Finding the maximum value a function reaches
Act as my SS3 Mathematics tutor. Give me five practice questions on finding the maximum va
Real-life Nigeria: Minimising the cost of a described Nigerian container
Act as my SS3 Mathematics tutor. Show me where minimising the cost of a described Nigerian
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
Worked example: A ladder sliding down a wall as a related-rate problem
Act as my SS3 Mathematics tutor. Take me through one full worked example on a ladder slidi
Teach me: Integration as the reverse of differentiation
You are my personal SS3 Mathematics tutor. Teach me integration as the reverse of differen
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