744 prompts matching "Solving a quadratic with the formula"
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
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
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
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
Quiz me: Evaluating the derivative at a given value of x
Act as my SS3 Mathematics tutor and quiz me on evaluating the derivative at a given value
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
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
Quiz me: Relating the rate of change of volume to that of radius
Act as my SS3 Mathematics tutor and quiz me on relating the rate of change of volume to th
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
Teach me: Integration as the reverse of differentiation
You are my personal SS3 Mathematics tutor. Teach me integration as the reverse of differen
Quiz me: The rule for integrating a power of x
Act as my SS3 Mathematics tutor and quiz me on the rule for integrating a power of x. Ask
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
Practice set: Integrating expressions with negative and fractional indices
Act as my SS3 Mathematics tutor. Give me five practice questions on integrating expression
Teach me: The definite integral and its limits
You are my personal SS3 Mathematics tutor. Teach me the definite integral and its limits,
Spot my mistake: Subtracting the limits in the wrong order
Act as my SS3 Mathematics tutor. Work a question on subtracting the limits in the wrong or
Spot my mistake: Adding vectors by adding their magnitudes
Act as my SS3 Mathematics tutor. Work a question on adding vectors by adding their magnitu