Find the x-coordinate of the local maximum of fx x3 - 27x2

Question

1. Determine the interval(s) where the function below is decreasing; f(x)= 2x³-3x²-12x+18.

2. Find the x-coordinate of the local maximum of f(x) = x³ - 2.7x² - 2.8x. Give your answer accurate to two decimal places.

3. Find the x-coordinate of the inflection point of f(x) = x³ - 2.5x² - 1.9x. Give your answer accurate to two decimal places.

4. Find the absolute minimum value of the following function on the interval [0,2]. Round your answer to two decimal places.