CALCULUS:GRAPHICAL...,AP ED.-W/ACCESS
5th Edition
ISBN: 9780133314564
Author: Finney
Publisher: SAVVAS L
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Suppose that f:R → R is a function with second derivative f"(x)=x•(x+ 1)³ • (x + 5)ª .
Find intervals of concavity-up and concavity-down of f(x), and the x-coordinate(s) of any point(s) of inflection. Explain your
answers.
Consider the function
2х + 1
g(x) =
x +1
a) Evaluate the derivative of the function.
b) Sketch the graph of the function, locating the x- and y- intercepts and all
asymptotes.
The function f(x) is everywhere continuous and differentiable. Prove that if the function f(x) has two real roots, then its derivative f′(x) has at least one root.
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