# Finding concavity with first derivative

When Finding concavity with first derivative, there are often multiple ways to approach it.

## The Sign of the Second Derivative

How to identify the x-values where a function is concave up or concave down from a first derivative graph.Please visit the following website for an organized

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## Concavity review (article)

To determine where the functions concave upward, we need to see whether graph of the first derivative is increasing, which means it will have a positive slope. We can see that this is true
How to tell concavity from the first derivative

ðŸ‘‰ Learn how to determine the extrema, the intervals of increasing/decreasing, and the concavity of a function from its graph. The extrema of a function are

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## Concavity & Inflection Points

concavity\:y=\frac{x^2+x+1}{x} concavity\:f(x)=x^3; concavity\:f(x)=\ln(x-5) concavity\:f(x)=\frac{1}{x^2} concavity\:y=\frac{x}{x^2-6x+8} concavity\:f(x)=\sqrt{x+3}

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## How to Locate Intervals of Concavity and Inflection Points

To some degree, the first derivative can be used to determine the concavity of f (x) based on the following: If f' (x) is increasing over an interval, then the graph of f (x) is concave up over the