CALCULUS:GRAPHICAL...,AP ED.-W/ACCESS
5th Edition
ISBN: 9780133314564
Author: Finney
Publisher: SAVVAS L
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Students have asked these similar questions
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.
To compute the derivative of 2cosx with the chain rule by writing this function as a composition f(g(x)), what is the “outer” function f(x)? Explain your answers clearly.Then compute the derivative of the function.
In Exercises 1-4, use the definition
f'(a) = lim la + h) – f(a)
h
to find the derivative of the given function at the indicated
1. f(x) = 1/x, a = 2
2. f(x) = x? + 4, a = 1
3. f(x) = 3 – x2, a = -1
In Exercises 5-8, use the definition
4. f(x) = x3 + x, a = 0
%3D
f(x) – f(a}
x - a
f'(a) = lim
to find the derivative of the given function at the indicated
5. f(x) = 1/x, a = 2
6. f(x) = x2 + 4, a = 1
%3D
7. f(x) = Vx + 1, a = 3
8. f(x) = 2x + 3, a = -1
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