Using logarithmic differentiation, find the derivative of y = (cosx)³x. O O dy dx dy dx dx =3ln(cosx)+3xtanx dy dx = . = 3ln(cosx)−3xtanx (cosx)3x(3ln(cosx)−3xtanx) = (cosx)3x(3ln(cosx)+3xtanx)

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.6: Analyzing Graphs Of Functions
Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
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Using logarithmic differentiation, find the derivative of y = (cosx)³x.
O
O
dy
dx
dy
dx
dx
=3ln(cosx)+3xtanx
dy
dx
=
. = 3ln(cosx)−3xtanx
(cosx)3x(3ln(cosx)−3xtanx)
=
(cosx)3x(3ln(cosx)+3xtanx)
Transcribed Image Text:Using logarithmic differentiation, find the derivative of y = (cosx)³x. O O dy dx dy dx dx =3ln(cosx)+3xtanx dy dx = . = 3ln(cosx)−3xtanx (cosx)3x(3ln(cosx)−3xtanx) = (cosx)3x(3ln(cosx)+3xtanx)
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