Q4.10 If k (x) 0 1 1 ° // (₁+²) 1+ 2 = 2 cosh (In(x)), then k'(x) = 01/(1-¹) 2 O cosh(x) x () sinh(2) x O cosh(In(x)) x (¹-4) sinh(ln(r)) X None of the above.

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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Please just answer 4.10
Q4.9
If l(x) = In (tanh ¹(a)), then l'(x) =
1
(1-x²) (ln(1-x) - ln(1 + x))
2
(1-x²) In(1-x) - ln(1 + x)
2
(1-x) ln (1-x) - (1+x) ln(1+x)
2
(1 x)(1+x)(ln(1-x) - ln(1 + x))
2
(x 1)(1+x)(ln(1-x) - ln(1 + x))
None of the above.
Q4.10
If k(x) = cosh (ln(x)), then k'(x) =
01/(1+²)
2
01/(1-²)
2
cosh(x)
x
sinh(2)
x
O cosh(ln(x))
x
01 (1-1)
2
sinh(ln(z))
x
O None of the above.
Transcribed Image Text:Q4.9 If l(x) = In (tanh ¹(a)), then l'(x) = 1 (1-x²) (ln(1-x) - ln(1 + x)) 2 (1-x²) In(1-x) - ln(1 + x) 2 (1-x) ln (1-x) - (1+x) ln(1+x) 2 (1 x)(1+x)(ln(1-x) - ln(1 + x)) 2 (x 1)(1+x)(ln(1-x) - ln(1 + x)) None of the above. Q4.10 If k(x) = cosh (ln(x)), then k'(x) = 01/(1+²) 2 01/(1-²) 2 cosh(x) x sinh(2) x O cosh(ln(x)) x 01 (1-1) 2 sinh(ln(z)) x O None of the above.
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