Problem

Differentiate the function. $ z = \frac {A}{y^{1…

01:36

Problem 30 Easy Difficulty

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

Answer

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More Answers

01:14

Frank L.

Topics

Derivatives

Differentiation

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 1

Derivatives of Polynomials and Exponential Functions

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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.

Clarissa N.

Topics

Derivatives

Differentiation

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 1

Derivatives of Polynomials and Exponential Functions

Top Calculus 1 / AB Educators

Grace H.

Numerade Educator

Catherine R.

Missouri State University

Anna Marie V.

Campbell University

Kristen K.

University of Michigan - Ann Arbor