Convex and concave curves and points of inflectionAQA A-Level Maths: Mind map

Exam questions on Convex and concave curves and points of inflection

1. The curve $C$ has equation $y=x^3-6x^2+5x$.
   Find the equation of the tangent to $C$ at its point of inflection.2 marks
2. The curve $C$ has equation $y=x^4-4x^3+6$.
   Find the coordinates of both points of inflection of $C$.2 marks
3. The curve $C$ has equation $y=x^2+\frac{8}{x}$ for $x\neq0$.
   Show that $C$ has exactly one point of inflection and find its coordinates.3 marks