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b\ State and prove the theorem of (derivative of inverse functions), then use it to answer these questions below, for each given functions find the value of f-¹(x) at the points that referred: dx (1) f(x) = logax, for all x (2) f(x) = ex + 2x + 1, at x = 2, iff-¹(2) = 0. (3) f(x) = 2x³ + 3x² + 7x + 4. at x = 4

b\ State and prove the theorem of (derivative of inverse functions), then use it to answer these questions below, for each given functions find the value of f-¹(x) at the points that referred: dx (1) f(x) = logax, for all x (2) f(x) = ex + 2x + 1, at x = 2, iff-¹(2) = 0. (3) f(x) = 2x³ + 3x² + 7x + 4. at x = 4

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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b\ State and prove the theorem of (derivative of inverse functions), then use it to answer these questions below, for each given functions find the value of f-¹(x) at the points dx that referred: (1) f(x) = logax, for all x (2) f(x) = ex + 2x + 1, at x = 2, iff-¹(2) = 0. (3) f(x) = 2x³ + 3x² + 7x + 4. at x = 4
Transcribed Image Text:b\ State and prove the theorem of (derivative of inverse functions), then use it to answer these questions below, for each given functions find the value of f-¹(x) at the points dx that referred: (1) f(x) = logax, for all x (2) f(x) = ex + 2x + 1, at x = 2, iff-¹(2) = 0. (3) f(x) = 2x³ + 3x² + 7x + 4. at x = 4
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