Question

If slope of f(x) is decreasing at "c", then
(a) f'(x) > 0 (b) f'(x) < 0
(c) f'(x) = 0
(d) none of these​

Answer 1

Answer:

option b ------ f'(x) < 0

Explanation:

1) If f'(x) <0 on an interval, then f is decreasing on that interval. d.) If f''(x) <0 on an interval, then f is concave downward on that interval.

2) If f'(x)=0, then the x value is a point of inflection for f.

3) If f′(x)>0 on an open interval, then f is increasing on the interval.

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