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Suppose f(1) = 2, ƒ'(1) = 3, ƒ (2) = 1, ƒ'(2) = 4, and g(1) = 3,g'(1) = 5,g(2) = 1,g′(2) = 4. If S(x) = f(g(x)), find the value of S'(2).

Suppose f(1) = 2, ƒ'(1) = 3, ƒ (2) = 1, ƒ'(2) = 4, and g(1) = 3,g'(1) = 5,g(2) = 1,g′(2) = 4. If S(x) = f(g(x)), find the value of S'(2).

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.
Chapter5: Graphs And The Derivative
Section5.CR: Chapter 5 Review
Problem 16CR
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Hello, can someone please help me with this calculus practice question

Suppose f(1) = 2, ƒ'(1) = 3, ƒ(2) = 1, ƒ'(2) = 4, and g(1) = 3,g′(1) = 5,g(2) = 1,g′(2) = 4. If S(x) = f(g(x)), find the value of S'(2).
Transcribed Image Text:Suppose f(1) = 2, ƒ'(1) = 3, ƒ(2) = 1, ƒ'(2) = 4, and g(1) = 3,g′(1) = 5,g(2) = 1,g′(2) = 4. If S(x) = f(g(x)), find the value of S'(2).
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