tan¹ (2x) x sin(3x4 + 8x³) f(x) = { [ / (x + ¹)] 1) cot-¹ cosh (³+-+1)). if x < 0 if 0 ≤ x ≤ 1 if r > 1

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.4: Derivatives Of Exponential Functions
Problem 19E
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Show all necessary solutions and box all final answers.
1. Given:
f(x)
=
tan¹ (2x)
r sin(3x4 + 8x³)
(x + 1)
1
cot-1
-¹ (cash (₁²+1)),
if x < 0
if 0 ≤ x ≤ 1
if t > 1
Discuss the continuity of fat x = 0, and at x = 1. If discontinuous, classify the type of
discontinuity as removable, jump essential, or infinite essential.
Transcribed Image Text:Show all necessary solutions and box all final answers. 1. Given: f(x) = tan¹ (2x) r sin(3x4 + 8x³) (x + 1) 1 cot-1 -¹ (cash (₁²+1)), if x < 0 if 0 ≤ x ≤ 1 if t > 1 Discuss the continuity of fat x = 0, and at x = 1. If discontinuous, classify the type of discontinuity as removable, jump essential, or infinite essential.
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