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Mathematical Applications for the Management, Life, and Social Sciences
- If xis large, which function grows faster, f(x)=2x or g(x)=x2?arrow_forwardDetermine whether each of the following statements is true or false, and explain why. The chain rule is used to take the derivative of a product of functions.arrow_forwardLet f(x) = f'(x) = and - f"(x) = | 7x² 4-5 . Then 7x(5x-8) (-5x+4) 2arrow_forward
- If f(x) =x² – - 4x and g(x) = 4-x', evaluate the following. Find (g-f)(-4) (g-)(-4)=| (Simplify your answer.)arrow_forwardFind (f-1)'(9) if f(x)=x3+x-1arrow_forwardFind f'(x) and simplify. x²+2 7x-8 f(x) = Which of the following shows the correct application of the quotient rule? O A. O B. O C. O D. f'(x) = (7x-8)(2x) - (x²+2) (7) [x² +2]² (7x-8)(2x) - (x²+2) (7) [7x − 8]² (x²+2) (7)-(7x-8)(2x) [x²+2]² (x² + 2) (7) − (7x − 8)(2x) [7x-8]²arrow_forward
- Suppose that f(x) and g(x) are two functions and we know that: f(-3) = 2 g(-3) = 5 f'(-3) g'(-3) Find the following: (ƒ − g)'(−3) = (g - f)'(-3) = -1 -2 == (fg)'(-3) = (4) - '(-3) = f(x) x² If k(x) = = = then k'(-3)arrow_forwardDifferentiate. f (x) = [x5 - (x - 1)5]10arrow_forwardSuppose f(x) = can be written in the form (a) A = (b) B= (c) C = (d) D= -6 2x + 5 01 (e) f'(3) = Then the expression A (Ba+Ch+5)(Da + 5) f(a+h)-f(a) h where a, A, B, C, and D are constants. Find:arrow_forward
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning