757 prompts matching "An exact Pythagoras answer left as a simplified surd"
Worked example: Differentiating a linear function from first principles
Act as my SS3 Mathematics tutor. Take me through one full worked example on differentiatin
Practice set: Differentiating x cubed from first principles
Act as my SS3 Mathematics tutor. Give me five practice questions on differentiating x cube
Real-life Nigeria: Why first principles justifies the power rule
Act as my SS3 Mathematics tutor. Show me where why first principles justifies the power ru
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
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
Real-life Nigeria: Finding the gradient function of a given polynomial
Act as my SS3 Mathematics tutor. Show me where finding the gradient function of a given po
Exam timing: A timed set of polynomial differentiations
Act as my SS3 Mathematics tutor. Set me a timed run of questions on a timed set of polynom
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
Real-life Nigeria: The equation of the normal to a curve at a point
Act as my SS3 Mathematics tutor. Show me where the equation of the normal to a curve at a
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
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
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
Practice set: Finding the maximum value a function reaches
Act as my SS3 Mathematics tutor. Give me five practice questions on finding the maximum va
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
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
Word problem: The area of a described plot bounded by a curve
Act as my SS3 Mathematics tutor. Give me three word problems on the area of a described pl
Practice set: The area between two curves
Act as my SS3 Mathematics tutor. Give me five practice questions on the area between two c
Exam timing: A timed set of definite integral evaluations
Act as my SS3 Mathematics tutor. Set me a timed run of questions on a timed set of definit