750 prompts matching "Show that, hence find: Checking a solution back in the original equation"
Exam timing: A timed set of first-principles derivations
Act as my SS3 Mathematics tutor. Set me a timed run of questions on a timed set of first-p
Quiz me: Differentiating a sum of powers term by term
Act as my SS3 Mathematics tutor and quiz me on differentiating a sum of powers term by ter
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
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
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
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
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
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
Teach me: The definite integral and its limits
You are my personal SS3 Mathematics tutor. Teach me the definite integral and its limits,