Advanced Placement Calculus 2016 Graphical Numerical Algebraic Fifth Edition Student Edition + Mathxl 1-year License
5th Edition
ISBN: 9780133314533
Author: Prentice Hall
Publisher: Prentice Hall
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Sub: BASIC CALCULUS
DETERMINE THE DERIVATIVE OF THE FOLLOWING FUNCTIONS
You are given the following function.
10t
G(t) =
t + 7
(a) Find the derivative of the function using the definition of derivative.
G '(t) =
(b) Select the domain of the function.
O (-∞, -7] U [7, 0)
O [-7, 7]
O (-7, 7)
O (∞, -7) U (-7, 0)
(c) Select the domain of its derivative.
O (-0∞, -7] U [7, )
O (7, 7)
O [-7, 7]
O (-0, -7) U (-7, ∞)
OR
1. Find the natural domain and the derivative of the given function.
(a) 3x² +7x + 5,
(b) (3x +1)5,
c) x .
(d) In(4x + 2)
(e) x· cos x
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