a Show that 1 2 x (1 x 2 ) 1 2 for every value of x b Suppose that is a function whose derivative is (x) x (1 x 2 ) Use the result in part (a) to show that for any a and b v q (v) (9) ...

ANSWER a To prove that 12 x1 x2 12 for every value of x we can start by considering the functio ...

a. Show that -1/2 x/(1 + x 2 ) 1/2 for every value of x.

Question:

a. Show that -1/2 ≤ x/(1 + x²) ≤ 1/2 for every value of x.

b. Suppose that ƒ is a function whose derivative is ƒ′(x) = x/(1 + x²). Use the result in part (a) to show that

for any a and b.

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Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

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Question Posted: Apr 20, 2023 12:51 PM

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a. Show that -1/2 x/(1 + x 2 ) 1/2 for every value of x.

Question:

|v- q² = |(v)ƒ — (9)ƒ|

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ANSWER a To prove that 12 x1 x2 12 for every value of x we can start by considering the functio...View the full answer

Thomas Calculus Early Transcendentals

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