694 prompts matching "Subtracting one algebraic fraction from another (Show That / Hence Find)"
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
Worked example: Differentiating a polynomial with negative indices
Act as my SS3 Mathematics tutor. Take me through one full worked example on differentiatin
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
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
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
Worked example: Finding the equation of a tangent at a point
Act as my SS3 Mathematics tutor. Take me through one full worked example on finding the eq
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
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
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
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
Teach me: What dy by dx means as a rate of change
You are my personal SS3 Mathematics tutor. Teach me what dy by dx means as a rate of chang
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
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
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
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