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5 Suppose is the inverse of a differentiable function f, and let G(z) 1/f-¹(a). If f(4)-5 and f'(4)=-1/16, then: (a) G (5) = 1. (b) G'(5)=-1. (c) G (5) = 0. (d) None of the above.. =

5 Suppose is the inverse of a differentiable function f, and let G(z) 1/f-¹(a). If f(4)-5 and f'(4)=-1/16, then: (a) G (5) = 1. (b) G'(5)=-1. (c) G (5) = 0. (d) None of the above.. =

Calculus For The Life Sciences
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 35E
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5 (d) None of the above. = Suppose f¹ is the inverse of a differentiable function f, and let G(z) - 1/f-¹(a). If f(4)=5 and /'(4) = -1/16, then: (a) G (5) = 1. (b) G(5)=-1. (c) G (5) = 0. (d) None of the above. 6 An antiderivative of the function f(x) = 2/x+3x²+ z(x0) is (a) F(x) = ln(²) +1³ +1²/2. (b) F(x) = 2ln(x) + 3r³+²/2. (c) None of the above. 7 Let N(t) be the number of bacteria of a given population at time t, where t is measured in days. Based on experimental data, the growth rate of the population is N'(t)=2t+6 Suppose N(0) 100. How long does it take for the population to double its initial size? (a) At least 8 days. (b) At most 8 days. (e) None of the above. human nn Farth at year al Ob/ O c/ Od/ O O al O b/ Oc/O b/ O c/ O.
Transcribed Image Text:5 (d) None of the above. = Suppose f¹ is the inverse of a differentiable function f, and let G(z) - 1/f-¹(a). If f(4)=5 and /'(4) = -1/16, then: (a) G (5) = 1. (b) G(5)=-1. (c) G (5) = 0. (d) None of the above. 6 An antiderivative of the function f(x) = 2/x+3x²+ z(x0) is (a) F(x) = ln(²) +1³ +1²/2. (b) F(x) = 2ln(x) + 3r³+²/2. (c) None of the above. 7 Let N(t) be the number of bacteria of a given population at time t, where t is measured in days. Based on experimental data, the growth rate of the population is N'(t)=2t+6 Suppose N(0) 100. How long does it take for the population to double its initial size? (a) At least 8 days. (b) At most 8 days. (e) None of the above. human nn Farth at year al Ob/ O c/ Od/ O O al O b/ Oc/O b/ O c/ O.
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