Suppose a person wants to travel D miles at a constant speed of (2 + X) mi/hr, where x could be positive or negative. The time in minutes required to travel D miles is T(x) = 60D(2 + x)- 1. Show that the linear approximation to T at the point x = 0 is T(x) = L(x) = 15D(2 – x). ... Recall that the linear approximation L(x) is equal to T(a) + T'(a)(x - a). Find T'(x). T'(x) =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Suppose a person wants to travel D miles at a constant speed of (2+ x) mi/hr, where x could be positive or negative. The time
in minutes required to travel D miles is T(x) = 60D(2 + x)-1. Show that the linear approximation to T at the point x = 0 is
T(x) = L(x) = 15D(2 – x).
...
Recall that the linear approximation L(x) is equal to T(a) + T'(a)(x - a). Find T'(x).
T'(X) =D
Transcribed Image Text:Suppose a person wants to travel D miles at a constant speed of (2+ x) mi/hr, where x could be positive or negative. The time in minutes required to travel D miles is T(x) = 60D(2 + x)-1. Show that the linear approximation to T at the point x = 0 is T(x) = L(x) = 15D(2 – x). ... Recall that the linear approximation L(x) is equal to T(a) + T'(a)(x - a). Find T'(x). T'(X) =D
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