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24-05-2017
Mathematics

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Logarithmic differentiation: y=theta+8/theta *costheta

I don't get how tank theta shows up I the answer.

Please explain

Logarithmic differentiation ytheta8theta costhetaI dont get how tank theta shows up I the answerPlease explain class=

Respuesta :

mreijepatmat mreijepatmat

24-05-2017

y=Ф + 8/(ФcosФ) ==> note that

dy/dФ = 1 - 8/[(ФcosФ)]² x (-8sinФ) ==> dy/dФ = 1+[(64sinФ)/Фcos²Ф]

==> dy/dФ = 1+ 64tanФ/Ф or dy/dФ = (Ф+tanФ)/Ф

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