For numbers 6- 10, refer to the problem below:Differentiate y = v3x2 – 4 using the Chain Rule.6. What is the outer function of the given problem?A. "the square"B. "the square root"С.D. 3x2 - 47. What is the inner function of the given problem?A. "the square"B. "the square root"С. Зх - 4D. Зx2 -48. What is the derivative of the outer function?А. 6В. бхC. ½ (3x2 - 4)-%D. - (3x2 - 4)!/29. What is the derivative of the inner function?A. 6В. бхC. (3x2 - 4)-%D. - (3x2 - 4)1/210. What is the differentiation of the given problem?A. 3 V3x2 – 43xB. 3x V3x – 4с.Var-4D.Var-411. ув (4x - 10)*А. 16(4x - 10)2В. 16(4х - 10)"C. 16(4x + 10)2D. 16(4x + 10)312. f(x) = (3x² – 2x + 1)6A. (36x – 12)(3x² – 2x + 1)5В. (36х - 12)(3х3- 2х + 1)5C. (36x – 12)(3x² + 2x – 1)*D. (36x – 12)(3x² – 2x – 1)*13. у3 х(x? + 3)?A. 5x* + 18x² +9B. 5x* - 18x? +9C. 5x + 18x2 -9D. 5x2 + 18x* +914. f(x) = 4 sin(2x – 7)A. 7cos(2x-8)B. 8cos(2x + 7)C. 7cos(2x + 8)D. 8cos(2x - 7)15. y = tan (x? + 3x)A. (2x + 3)sec²(x³ + 3x)В. (2х — 3)sec? (x? + 3x)C. (2x + 3)sec²(x² + 3x)D. (2x – 3)sec²(x² + 2x)Adapted and modified from the SLMof Department of Education- Region II

Answered: Image /qna-images/answer/634b6b3f-036f-450f-ae63-7b2d897ccb04.jpg

Answered: Differentiate y - V3x² – 4 using the…

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter8: Introduction To Functions

Section8.8: Linear And Quadratic Functions

Problem 4ST

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The planning department of Abstract Office Supplies has been asked to determine whether the company should introduce a new computer desk next year. The department estimates that $6,000 of new manufacturing equipment will need to be purchased and that the cost of constructing each desk will be $150. The department also estimates that the revenue from each desk will be $450. Determine the cost function C(x) for manufacturing x desks.
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The median size of a new single-family house built in the United States between 1987 and 2001 can be modeled by the equation H(x) = 0.359x3 − 15.198x2 + 221.738x + 862.514 square feet where x is the number of years after 1980. † (a) Determine the value of x in the domain: 7 ≤ x ≤ 21 for which the median house size was increasing least rapidly. (Round your answer to three decimal places.)? (b) Thus, in which year was the median house size was increasing least rapidly? (Round your answer up to the nearest year.) (c) Find the corresponding house size. (Round your answer to one decimal place.)____square ft(d) Find the corresponding rate of change in house size. (Round your answer to three decimal places.)____square feet per year
The median size of a new single-family house built in the United States between 1987 and 2001 can be modeled by the equation H(x) = 0.359x3 − 15.198x2 + 221.738x + 862.514 square feet where x is the number of years after 1980. 1. Determine the value of x in the domain 7 ≤ x ≤ 21 for which the median house size was increasing least rapidly. (Round your answer to three decimal places.) 2. Thus, in which year was the median house size was increasing least rapidly? 3. Find the corresponding house size. (Round your answer to one decimal place.) 4. Find the corresponding rate of change in house size. (Round your answer to three decimal places.)

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