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# Differentiate. $f(t) = te^t$ cot $t$

Derivatives

Differentiation

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##### Kristen K.

University of Michigan - Ann Arbor

##### Michael J.

Idaho State University

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### Video Transcript

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

#### Topics

Derivatives

Differentiation

##### Catherine R.

Missouri State University

##### Kristen K.

University of Michigan - Ann Arbor

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