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1 min read•june 8, 2020
Sumi Vora
🎥Watch: AP Calculus AB/BC - Concavity and f, f', f''
@sander-o
@jenni513843
If we combine our knowledge of first derivatives and second derivatives, we find that we can use the second derivative to determine whether a critical point is a relative minimum or relative maximum. ❗️
In other words, if we know that there is a local extreme at a certain point and the graph is concave up at that point, it must be a minimum, and, if the graph is concave down at that point, it must be a maximum. 🙋♂️
We can find the critical points of implicit functions in a similar manner. The critical points occur when dy/dx = 0.
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