625 prompts matching "Show that, hence find: Checking whether a calculated answer is reasonable"
Practice set: Differentiating x cubed from first principles
Act as my SS3 Mathematics tutor. Give me five practice questions on differentiating x cube
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
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.
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
Practice set: Differentiating polynomials with fractional indices
Act as my SS3 Mathematics tutor. Give me five practice questions on differentiating polyno
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
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
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
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
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
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
Practice set: Practice on two rates of change linked by a chain rule
Act as my SS3 Mathematics tutor. Give me five practice questions on practice on two rates
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.
Word problem: Recovering a distance function from a velocity function
Act as my SS3 Mathematics tutor. Give me three word problems on recovering a distance func
Practice set: Integrating expressions with negative and fractional indices
Act as my SS3 Mathematics tutor. Give me five practice questions on integrating expression
Quiz me: Evaluating a definite integral between two limits
Act as my SS3 Mathematics tutor and quiz me on evaluating a definite integral between two
Explain back: Why the constant of integration cancels in a definite integral
I have just studied why the constant of integration cancels in a definite integral in my S