AP Calculus ABeasymcq1 pt
If f'(x) > 0 for all x in an interval I, then f is
A.decreasing on I
B.increasing on I
C.concave up on I
D.concave down on I
Explanation
Core Concept
If the derivative of a function is positive on an interval, then the function is increasing on that interval. This is a fundamental property of derivatives: f'(x) represents the slope of the tangent line to f(x), and when this slope is positive, the function is increasing.
Correct Answer
Bincreasing on I
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