1. Suppose that ƒ and g are differentiable functions and let h(x) = f(x)(=) Note: this question requires content covered in Section 3.6. (a) Show that h' = f9¬! (f'g+ fg ln f) (b) formula in part (a) simplifies into a formula we have seen earlier in this course. If f(x) = b (where b is a strictly positive constant), show that the %3D (c) simplifies into a familiar formula we have seen earlier in this course. If g(x) = n (where n is a constant), show that the formula in part (a)
1. Suppose that ƒ and g are differentiable functions and let h(x) = f(x)(=) Note: this question requires content covered in Section 3.6. (a) Show that h' = f9¬! (f'g+ fg ln f) (b) formula in part (a) simplifies into a formula we have seen earlier in this course. If f(x) = b (where b is a strictly positive constant), show that the %3D (c) simplifies into a familiar formula we have seen earlier in this course. If g(x) = n (where n is a constant), show that the formula in part (a)
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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Question
![1.
Suppose that f and g are differentiable functions and let
h(x) = f(x)(=)
Note: this question requires content covered in Section 3.6.
(a)
Show that
h' = f9¬1 (f'g + fg ln ƒ)
If f(x) = b (where b is a strictly positive constant), show that the
(b)
formula in part (a) simplifies into a formula we have seen earlier in this course.
If g(x) = n (where n is a constant), show that the formula in part (a)
(c)
simplifies into a familiar formula we have seen earlier in this course.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3626a9cd-603e-4881-aadc-3d214472d5fe%2Ffce1a9ae-912a-453c-9efa-7508638d18d8%2F2t30obc_processed.png&w=3840&q=75)
Transcribed Image Text:1.
Suppose that f and g are differentiable functions and let
h(x) = f(x)(=)
Note: this question requires content covered in Section 3.6.
(a)
Show that
h' = f9¬1 (f'g + fg ln ƒ)
If f(x) = b (where b is a strictly positive constant), show that the
(b)
formula in part (a) simplifies into a formula we have seen earlier in this course.
If g(x) = n (where n is a constant), show that the formula in part (a)
(c)
simplifies into a familiar formula we have seen earlier in this course.
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