Find the derivatives of the functions.f(x)=e^{\ln x}-e^{2ln(x^{2})})

lwfrgin 2021-06-04 Answered

Find the derivatives of the functions.
f(x)=elnxe2ln(x2)

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Expert Answer

dessinemoie
Answered 2021-06-05 Author has 90 answers

f(x)=elnxe2ln(x2))
Apply lnan=nlna
f(x)=elnx)eln(x2)2 Apply (xm)n=xmn
f(x)=elnxelnx4
Recall that lnez=z, so
f(x)=xx4
Differentiate both sides with respect to x
f(x)=ddx[xx4]
Therefore,
f(x)=14x3

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