AP微积分题If f is differentiable and difference quotients overestimate the slope of f at x=a for all h>0,which must be true?A f'(a)>0 B f'(a)0 D f''(a)

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AP微积分题If f is differentiable and difference quotients overestimate the slope of f at x=a for all h>0,which must be true?A f'(a)>0 B f'(a)0 D f''(a)
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AP微积分题If f is differentiable and difference quotients overestimate the slope of f at x=a for all h>0,which must be true?A f'(a)>0 B f'(a)0 D f''(a)
AP微积分题
If f is differentiable and difference quotients overestimate the slope of f at x=a for all h>0,which must be true?A f'(a)>0 B f'(a)0 D f''(a)

AP微积分题If f is differentiable and difference quotients overestimate the slope of f at x=a for all h>0,which must be true?A f'(a)>0 B f'(a)0 D f''(a)
题目是说：函数f可微.在x=a处,用差商对这一点的斜率进行估计,对任意的区间长度h,差商所得的结果均大于这一点的斜率.下列说法正确的是.
换句话说,对任意的b>a,都有[f(b)-f(a)]/(b-a)>f'(a).
这是凸函数（即下凸函数）的性质.
即函数在x=a处是下凸的,一定有f''(a)>0.
ABD都是错的.你的C选项没有写清楚.但知道是凸函数,应该容易判断.

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