Interpreting behavior of _ from graph of _'=Ä | AP Calculus AB | Khan Academy

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When given the graph of function Ä, we can reason about the graph of its antiderivative _ (so _'=Ä).

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There is an error in the last problem. Accumulation of area underneath the curve does not imply positivity of the integral; it implies positivity in its rate of change. The rate of change of a function can be positive throughout some interval and the curve itself need not ever be above the x-axis.

Therefore, if the derivative (f) of a function (g) is non-negative on some interval, this just means that the slope of the tangent line at any point on that interval is non-negative.

KaiMusic
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hello, at 5:03, you said that you ruled out the option answer d, because it is only a justification, not Calculus-based. What exactly do you mean by calculus-based? and what is justification?

timothyjosephhutagaol