3 Calculations by hand (#differentiation) Consider the functions f(x) = √x and g(x) = cos(x). Compute the derivative with respect to x for each of the following by hand, then check your work using Sage: (a) f(x)g(x) (b) f(g(x)) (c) g(f(x)) (d) [ƒ(x)]² (e) g([ƒ(x)]²)
3 Calculations by hand (#differentiation) Consider the functions f(x) = √x and g(x) = cos(x). Compute the derivative with respect to x for each of the following by hand, then check your work using Sage: (a) f(x)g(x) (b) f(g(x)) (c) g(f(x)) (d) [ƒ(x)]² (e) g([ƒ(x)]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.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 59CR
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![3.3 Calculations by hand (#differentiation) Consider the functions f(x) = x and
g(x) = cos(x). Compute the derivative with respect to x for each of the following by
hand, then check your work using Sage:
(a) f(x)g(x)
(b) f(g(x))
(c) g(f(x))
(d) [f(x)]²
(e) g([f(x)]²)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5af0e48b-f597-4f3b-a5c6-419ca05c6dd2%2F231b3d1f-9335-4f50-8948-b42f8dff2734%2Fse47t9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3.3 Calculations by hand (#differentiation) Consider the functions f(x) = x and
g(x) = cos(x). Compute the derivative with respect to x for each of the following by
hand, then check your work using Sage:
(a) f(x)g(x)
(b) f(g(x))
(c) g(f(x))
(d) [f(x)]²
(e) g([f(x)]²)
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