750 prompts matching "Show that, hence find: Checking a solution pair in both equations"
Worked example: Differentiating a polynomial with negative indices
Act as my SS3 Mathematics tutor. Take me through one full worked example on differentiatin
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
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
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
Exam timing: A timed set of gradient-at-a-point questions
Act as my SS3 Mathematics tutor. Set me a timed run of questions on a timed set of gradien
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: Solving the derivative equal to zero to locate stationary points
Act as my SS3 Mathematics tutor and quiz me on solving the derivative equal to zero to loc
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
Spot my mistake: Calling every stationary point a maximum
Act as my SS3 Mathematics tutor. Work a question on calling every stationary point a maxim
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
Exam timing: A timed set of maximum and minimum problems
Act as my SS3 Mathematics tutor. Set me a timed run of questions on a timed set of maximum
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
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
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
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
Worked example: Integrating a polynomial term by term
Act as my SS3 Mathematics tutor. Take me through one full worked example on integrating a
Exam timing: A timed set of polynomial integrations
Act as my SS3 Mathematics tutor. Set me a timed run of questions on a timed set of polynom