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Differentiate.

$ f(t) = te^t $ cot $ t $

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Campbell University

University of Michigan - Ann Arbor

Idaho State University

Hey, it's clear. So when you reign here so we're gonna take the derivative of tea times eats the tea times coat engine. This becomes equal to D over DT of tea times E to the T Times CO Tension plus T It's clear. So when you reign here so we're gonna times d over DT of each the team coat engine close T U to the T do you over DT of coat engine, which is equal to negative. T you take the derivative of tea times eats the tea times coat engine This becomes equal to D over DT of tea times E to the t Times Co Tension plus t t Co Seacon Square blessed t he to the team ko 10 gin of tea. Plus I mean to the t coat engine of tea you simplify and we get to the times D over DT of each the team coat engine close t u to the t do you over DT of coat engine which is equal to negative t eat t negative e to the t Times t co Sika Square plus negative T minus one co tension