composite function composition chain rule 4.4 24. y = -3√/814 - 1 25. y = 3x(2x + 1)³ 26. y = 4x²(3x - 2)5 5t² - 7t 27. r(t) = (3t + 1)³ 13 - 2t 28. s(t) = (4t - 3)4 29. p(t) = t²(t² + 1)5/2 30. g(t) = t³ (t4 + 5) 7/2 31. y = -6e2x 32. y = 8e0.5x -2x3 33. y = e−2x³ 34. y = -40x2 35. y = 5xe²x 36. y = -7x²e-3x 37. y = ln(2 + x²) 38. y = ln(5x + 3) In 3x 39. y x - 3 - logistic function

College Algebra (MindTap Course List)
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Chapter1: Equations And Inequalities
Section1.CR: Chapter Review
Problem 67E: 67. Calculate the discriminant associated with the equation 6x2+5x+1=0.
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Use the rules for derivatives to find the derivative of each function defined as follows.

For now, we'll be focusing on 24, 26, and 28, as pictured in the attachment.  

 

composite function
composition
chain rule
4.4
24. y = -3√/814 - 1
25. y = 3x(2x + 1)³
26. y = 4x²(3x - 2)5
5t² - 7t
27. r(t)
=
(3t + 1)³
13 - 2t
28. s(t)
=
(4t - 3)4
29. p(t) = t²(t² + 1)5/2
30. g(t) = t³ (t4 + 5) 7/2
31. y = -6e2x
32. y = 8e0.5x
-2x3
33. y = e−2x³
34. y = -40x2
35. y = 5xe²x
36. y = -7x²e-3x
37. y = ln(2 + x²)
38. y = ln(5x + 3)
In 3x
39. y
x - 3
-
logistic function
Transcribed Image Text:composite function composition chain rule 4.4 24. y = -3√/814 - 1 25. y = 3x(2x + 1)³ 26. y = 4x²(3x - 2)5 5t² - 7t 27. r(t) = (3t + 1)³ 13 - 2t 28. s(t) = (4t - 3)4 29. p(t) = t²(t² + 1)5/2 30. g(t) = t³ (t4 + 5) 7/2 31. y = -6e2x 32. y = 8e0.5x -2x3 33. y = e−2x³ 34. y = -40x2 35. y = 5xe²x 36. y = -7x²e-3x 37. y = ln(2 + x²) 38. y = ln(5x + 3) In 3x 39. y x - 3 - logistic function
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