Let c be a constant, and let h(x) = sin-¹ (cecx + x). Find h'(x). h'(x) c²eca + c 1-c²e2cx 2cxeca c²eca +1 h'(x) √1-c²e2cx 2cxeca c²ec +c h'(x) √/1-[(x)² + x²] ce c²eca +1 h'(x): √/1-[(ce²x)² +2²] се - x²

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Let c be a constant, and let h(x) = sin-¹ (ceca + x). Find h' (x).
c²eca + c
h'(x)
√1
c²e2cx 2cxecx x²
c²ecz +1
h'(x)
√1 c²e2cx 2cxec x2
c²ec +c
h'(x)
√ ₁-[(ce<²)² +2²]
1-
се
c²ec +1
h'(x)
- [(cecz)² + x²]
=
1-
Transcribed Image Text:Let c be a constant, and let h(x) = sin-¹ (ceca + x). Find h' (x). c²eca + c h'(x) √1 c²e2cx 2cxecx x² c²ecz +1 h'(x) √1 c²e2cx 2cxec x2 c²ec +c h'(x) √ ₁-[(ce<²)² +2²] 1- се c²ec +1 h'(x) - [(cecz)² + x²] = 1-
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