BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter 3.1, Problem 14E
To determine

To find:

The differentiation of the given function

Expert Solution

Answer to Problem 14E

Differentiating the function is dydt=14t344et

Explanation of Solution

Given:

The function is

  h(t)=t44et

Concept used:

Definition of the differentiation:-Differentiation is the action of computing a derivative

The derivative of a function y=f(x) of a variable x is a measure of the rate at which the value y of the function changes with respect to x

Calculation:

The function

  h(t)=t44et...................(1)

The derivative of a function

  y=f(x)y=f(x)=dydx

Differentiating the equation (1) with respect to t

  dydt=ddt(t44et)dydt=ddt(t4)ddt(4et)dydt=14t344et

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