Find the derivative of the following functions y=\ln (\cos^{2}x)

Wierzycaz

Wierzycaz

Answered question

2021-10-05

Find the derivative of the following functions
y=ln(cos2x)

Answer & Explanation

unessodopunsep

unessodopunsep

Skilled2021-10-06Added 105 answers

Given,
y=ln(cos2x)
Step 2
Differentiating with respect to x, we get
dydx=d[ln(cos2x)]dx
=1cos2xd(cos2x)dx   [d(lnx)dx=1x]
=1cos2x2cosxd(cosx)dx   [d(xn)dx=nxn1]
=2cosx(sinx)   [d(cosx)dx=sinx]
=2sinxcosx
=2tanx
Jeffrey Jordon

Jeffrey Jordon

Expert2022-03-24Added 2605 answers

Answer is given below (on video)

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