WebThe graph of y=f'(x) is given. Use the information of the derivative to answer the following about the function y=f(x). you may estimate coordinates to the nearest tenth Determine the intervals where the graph of y=f(x) a) Increasing and decreasing b) Concave up and concave down c) Local maximum and local minimum d) Inflection point e) Assuming that … WebDec 21, 2024 · Find the intervals on which f is increasing and decreasing, and use the First Derivative Test to determine the relative extrema of f, where f(x) = x2 + 3 x − 1. Solution We start by noting the domain of f: ( − ∞, 1) ∪ (1, ∞). Key Idea 3 describes how to find intervals where f is increasing and decreasing when the domain of f is an interval.
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WebThe derivative function, g', does go through (-1, -2), but the tangent line does not. It might help to think of the derivative function as being on a second graph, and on the second graph we have (-1, -2) that describes the tangent line on the first graph: at x = -1 in the first graph, the slope is -2. 1 comment ( 36 votes) Upvote Downvote Flag WebApr 3, 2024 · Thus, any function with at least one antiderivative in fact has infinitely many, and the graphs of any two antiderivatives will differ only by a vertical translation. Given … chucks gun shop riverdale il
The derivative & tangent line equations (video) Khan Academy
WebAug 20, 2024 · Using Derivatives to Graph a Tangent Line You can use derivatives using either of the above notations to find the equation of a line tangent to a function in slope … WebDerivatives of Polynomials. In the left pane you will see the graph of the function of interest, and a triangle with base 1 unit, indicating the slope of the tangent. In the right pane is the … WebGraphing a Derivative Learning Outcomes Graph a derivative function from the graph of a given function State the connection between derivatives and continuity Describe three … chucks handyman and home improvement