Given a differentiable function y = f(x), complete the following table, listing different ways to denote...

 

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Given a differentiable function y = f(x), complete the following table, listing different ways to denote the second derivative of f. Below, list 2 variations of the Lagrange notation for the second derivative of y = f(x). Below, list 2 variations of the Leibniz notation for the second derivative of y = f(x). CONCAVITY Concavity Test: Suppose f is twice-differentiable on an interval. f is concave up on the interval if fis concave down on the interval if Define the Term: An inflection point is a point where / is... Work the Process: To find the intervals where is increasing or decreasing and local extrema using the first derivative test, do the following: 1. 2. 3. Given a differentiable function y = f(x), complete the following table, listing different ways to denote the second derivative of f. Below, list 2 variations of the Lagrange notation for the second derivative of y = f(x). Below, list 2 variations of the Leibniz notation for the second derivative of y = f(x). CONCAVITY Concavity Test: Suppose f is twice-differentiable on an interval. f is concave up on the interval if fis concave down on the interval if Define the Term: An inflection point is a point where / is... Work the Process: To find the intervals where is increasing or decreasing and local extrema using the first derivative test, do the following: 1. 2. 3.