737 prompts matching "Equating indices when the bases have not been matched"
Teach me: The limit definition of the derivative
You are my personal SS3 Mathematics tutor. Teach me the limit definition of the derivative
Teach me: The power rule for differentiation
You are my personal SS3 Mathematics tutor. Teach me the power rule for differentiation, wo
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.
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
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
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
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
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
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