Question

Let\newline$f(x) = \ln\left(\sqrt{\frac{6x - 3}{9x + 4}}\right)$\newline$f'(x) = \frac{17}{2(2x - 1)(9x + 4)}$

Name: Letf(x) = ln(√((6x - 3)/(9x + 4)))f'(x) = (17)/(2(2x - 1)(9x + 4))
Uploaded: 2023-09-20T20:20:55-08:00
Duration: 59 s
Channel: Sam Stansfield
Description: Letf(x) = ln(√((6x - 3)/(9x + 4)))f'(x) = (17)/(2(2x - 1)(9x + 4))

          Let\newline$f(x) = \ln\left(\sqrt{\frac{6x - 3}{9x + 4}}\right)$\newline$f'(x) = \frac{17}{2(2x - 1)(9x + 4)}$

Added by Sebastian D.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sam Stansfield

09/20/2023

Step 1

Step 1: Rewrite the function f(x) using properties of logarithms: f(x) = ln(√((6x-3)/(9x+4))) f(x) = ln((6x-3)/(9x+4))^(1/2) f(x) = (1/2)ln((6x-3)/(9x+4)) Show more…

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