WebWhich sounds like a very fancy word, but it's just saying the antiderivative of a function is a function whose derivative is that function. So for example, if we have f of x, and let's say that the antiderivative of f of x is capital F … WebWe would like to show you a description here but the site won’t allow us.

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WebApr 3, 2024 · Activity 5.1. 1: Suppose that the function y = f ( x) is given by the graph … WebLearning Objectives. 4.5.1 Explain how the sign of the first derivative affects the shape of a function’s graph.; 4.5.2 State the first derivative test for critical points.; 4.5.3 Use concavity and inflection points to explain how the sign of the second derivative affects the shape of a function’s graph.; 4.5.4 Explain the concavity test for a function over an open interval. raymund hugo

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WebAnd so here we have a graph of the derivative, and it is indeed increasing over that interval. So our calculus-based justification that we'd wanna use is that, look, f, which is g prime, is increasing on that interval. The derivative is increasing on that interval, which means that the original function is concave up. f is positive on that ... Web1. Describe the general shape of the derivative graph. 2. Locate any x-intercepts of the … raymund havenith