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# Differentiate the function.$D(t) = \frac {1 + 16t^2}{(4t)^3}$

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Derivatives

Differentiation

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##### Catherine R.

Missouri State University

##### Kristen K.

University of Michigan - Ann Arbor

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### Video Transcript

it's clear. So when you right here. So we have d of T, which can be re written into one over 64 t to the negative three plus one over four t to the negative one. Used to some indifference rule. We get d over Deep T won over 64 tete the negative three plus de over DT 1/4 t to the negative one. We used the constant multiple roll and we take out the Constance when we apply the pa rolled to get won over 64 Negative. Three t to the negative. Three minus one. Power close 1/4 Negative one t to the negative one minus one Power and we get negative. Three over a 64 t to the fourth power minus one over four T square.

#### Topics

Derivatives

Differentiation

##### Catherine R.

Missouri State University

##### Kristen K.

University of Michigan - Ann Arbor

Lectures

Join Bootcamp