Mathematics, 26.02.2020 04:33 Manuelperez1373
Consider the function f(x)=ex4+ex (A) Find the first derivative of f. f′(x) = (4e^x)/(e^x+4)^2 equation editorEquation Editor (B) Use interval notation to indicate where f(x) is increasing. NOTE: Use 'Inf' for [infinity], '-Inf' for −[infinity], and use 'U' for the union symbol. Increasing: equation editorEquation Editor (C) List the x coordinates of all local minima of f. If there are no local maxima, enter 'NONE'. x values of local minima: equation editorEquation Editor . (D) List the x coordinates of all local maxima of f. If there are no local maxima, enter 'NONE'. x values of local maxima: equation editorEquation Editor . (E) Find the second derivative of f: f′′(x) = equation editorEquation Editor (F) Use interval notation to indicate the interval(s) of upward concavity of f(x). Concave up: equation editorEquation Editor (F) Use interval notation to indicate the interval(s) of downward concavity for f(x) Concave down: equation editorEquation Editor (G) List the x values of the inflection points of f. If there are no inflection points, enter 'NONE'. x values of inflection points: equation editorEquation Editor .
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The area of a rectangle is 10 cm^2. one side of the rectangle is x cm. express the perimeter of the rectangle in terms of x and show that this rectangle cannot have a perimeter of 12 cm. the perimeter of the rectangle in terms of x is __ cm
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Consider the function f(x)=ex4+ex (A) Find the first derivative of f. f′(x) = (4e^x)/(e^x+4)^2 equat...
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