Assume that there exists a function L: (0,∞) −→ R such that L'(x) = 1/x . Furthermore, define the function f : R →→ R via f(x) = L(x^4 + 2x^3 + 3). Compute f'(3).

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Assume that there exists a function L:
(0,∞) → R such that L'(x) = 1/x.
Furthermore, define the function f : R -→ R
via f(x) = L(x^4 + 2x^3 + 3). Compute f'(3).
Transcribed Image Text:Assume that there exists a function L: (0,∞) → R such that L'(x) = 1/x. Furthermore, define the function f : R -→ R via f(x) = L(x^4 + 2x^3 + 3). Compute f'(3).
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