The diagram shows part of the curve with equation y = f(x), where f(x) = x² − 7x + 5 ln x + 8, x > 0. The points A and B are the stationary points of the curve.

a. Using calculus and showing your working, find the coordinates of the points A and B.

b. Sketch the curve with equation y = −3f(x − 2).

c.. Find the coordinates of the stationary points of the curve with equation y = −3f(x − 2). State, without, proof, which point is a maximum and which point is a minimum.

Transcribed Image Text:

У 0 A B | y = f(x) X