Problem

Use logarithmic differentiation to find the deriv…

01:57

Problem 40 Hard Difficulty

Use logarithmic differentiation to find the derivative of the function.

$ y = \frac {e^{-x} \cos^2 x}{x^2 + x + 1} $

Answer

$y^{\prime}=-\frac{e^{-x} \cos ^{2} x}{x^{2}+x+1}\left[-1-2 \tan x-\frac{2 x+1}{x^{2}+x+1}\right]$

More Answers

01:16

Frank L.

Topics

Derivatives

Differentiation

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 6

Derivatives of Logarithmic Functions

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Video Transcript

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Doruk I.

Topics

Derivatives

Differentiation

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 6

Derivatives of Logarithmic Functions

Top Calculus 1 / AB Educators

Grace H.

Numerade Educator

Heather Z.

Oregon State University

Kayleah T.

Harvey Mudd College

Kristen K.

University of Michigan - Ann Arbor