The first question is to use derivatives to find the magnitude of extreme points, f(-2), f(- root number 2/2) and f (root number 2/2). And f (1).
Solution: (1) From f (x) = 2x 3, f' (x) = 6x 2-3, let f'(x)=0, and get x- radical number 2/2 or x= radical number 2/2, because the detailed answer is here. Lal function f (x) = 2x 3-3x.
(i) Find the maximum value of f(x) in the interval [-2, 1];
(2) If there are three straight lines tangent to the curve y=f(x) at the intersection P( 1, t), find the range of t;
(3) The questions I asked A (- 1, 2), B (2, 10) and C (0, 2) are that how many straight lines are tangent to the curve y=f(x). This question is still very difficult (just write the conclusion). I didn't have any ideas at first. I didn't understand until I read the answer. Let's go