Problem

Differentiate the function. $ P(v) = \frac {\l…

01:05

Problem 13 Easy Difficulty

Differentiate the function.

$ G(y) = \ln \frac {(2y + 1)^5}{\sqrt {y^2 + 1}} $

Name: differentiate the function gy ln frac 2y 15sqrt y2 1
Uploaded: 2019-12-02
Duration: 1 min 24 s
Channel: Numerade
Description: Differentiate the function. $ G(y) = \ln \frac {(2y + 1)^5}{\sqrt {y^2 + 1}} $

Answer

$$\frac{10}{2 y+1}-\frac{y}{y^{2}+1}\left[\text { or } \frac{8 y^{2}-y+10}{(2 y+1)\left(y^{2}+1\right)}\right]$$

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Video Transcript

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Topics

Derivatives

Differentiation

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 6

Derivatives of Logarithmic Functions