47. f(x) = (2x + 1) (3x² + 2)

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
Section4.2: Derivatives Of Products And Quotients
Problem 1E
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Question 47? Show work, thank you! (Answer is given)
47. 18x² + 6x +4
49.2w, for w #0
51.4x³+4x
53. 1, for #1
⠀
Transcribed Image Text:47. 18x² + 6x +4 49.2w, for w #0 51.4x³+4x 53. 1, for #1 ⠀
46-58. Derivatives of products and quotients Find the derivative of the
following functions by first expanding or simplifying the expression. Simplify your
answers.
46. f(x) = (√x + 1) (√x − 1)
47. f(x) = (2x + 1)(3x² + 2)
48. g(r) = (5r³ + 3r + 1) (r² + 3)
w³ ω
49. f(w) =
=
W
12s³8s² + 12s
50. y =
4s
51. h(x) = (x² + 1)²
52. h(x) = √x (√x – x³/²)
Transcribed Image Text:46-58. Derivatives of products and quotients Find the derivative of the following functions by first expanding or simplifying the expression. Simplify your answers. 46. f(x) = (√x + 1) (√x − 1) 47. f(x) = (2x + 1)(3x² + 2) 48. g(r) = (5r³ + 3r + 1) (r² + 3) w³ ω 49. f(w) = = W 12s³8s² + 12s 50. y = 4s 51. h(x) = (x² + 1)² 52. h(x) = √x (√x – x³/²)
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