25. y log(sin² x) =

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 60SE: Use the result from the previous exercise to graph the logistic model P(t)=201+4e0.5t along with its...
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#25

= πχ
= JX-1,
for answers.)
xat
d
dx
d
[x√²] = √√2x√²-1 -=[x²] =-ex-e-1
dx
3. Use logarithmic differentiation to find the derivative of
√x + 1
3√x - 1
28.
4. lim
h→0
In (1 + h)
h
x²
=
17. y=
1+ log x=
19. y = ln(ln x)
21. y = ln(tan x)
23. y = cos(ln x)
25. y =
log(sin²x)
f(x) =
d
dx
d
dx
13
18. y =
20. y =
27-30 Use the method of Example 3 to help perform the
indicated differentiation.
27. [In((x - 1)³(x² + 1) ¹)]
11:00
-[In((cos²x)√1+x4)]
log x
1 +
1 + log x
ln (ln(ln x))
22. y =
ln (cos x)
24. y = sin² (In x)
26. y = log(1-sin² x)
Transcribed Image Text:= πχ = JX-1, for answers.) xat d dx d [x√²] = √√2x√²-1 -=[x²] =-ex-e-1 dx 3. Use logarithmic differentiation to find the derivative of √x + 1 3√x - 1 28. 4. lim h→0 In (1 + h) h x² = 17. y= 1+ log x= 19. y = ln(ln x) 21. y = ln(tan x) 23. y = cos(ln x) 25. y = log(sin²x) f(x) = d dx d dx 13 18. y = 20. y = 27-30 Use the method of Example 3 to help perform the indicated differentiation. 27. [In((x - 1)³(x² + 1) ¹)] 11:00 -[In((cos²x)√1+x4)] log x 1 + 1 + log x ln (ln(ln x)) 22. y = ln (cos x) 24. y = sin² (In x) 26. y = log(1-sin² x)
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