Consider the function, f(x) = (x + 1)ln(5x² + e). Without finding explicitly the inverse of f(x), evaluate the derivative of the inverse f-1(x) at the point (1,0). Since f(0) = In(e) = 1, therefore f-(1) = 0.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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Consider the function, f(x) = (x + 1)ln(5x² + e). Without finding
explicitly the inverse of f(x), evaluate the derivative of the inverse f-1(x) at the
point (1,0). Since f(0) = In(e) = 1, therefore f-1(1) = 0.
%3D
Transcribed Image Text:Consider the function, f(x) = (x + 1)ln(5x² + e). Without finding explicitly the inverse of f(x), evaluate the derivative of the inverse f-1(x) at the point (1,0). Since f(0) = In(e) = 1, therefore f-1(1) = 0. %3D
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