AP Calculus ABeasymcq1 pt

If f'(x) > 0 for all x in an interval I, then f is

A.B) increasing on I

B.A) decreasing on I

C.C) concave up on I

D.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

AB) increasing on I

Practice more AP Calculus AB questions with AI-powered explanations

Practice Unit 5: Analytical Applications of Differentiation Questions →