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Find the first, second, and third derivatives of the func- tion. W (t) = 5t² + 4e*.

Find the first, second, and third derivatives of the func- tion. W (t) = 5t² + 4e*.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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2) Find the first, second, and third derivatives of the func- tion. W (t) = 5t² + 4e'.
Transcribed Image Text:2) Find the first, second, and third derivatives of the func- tion. W (t) = 5t² + 4e'.
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W\left(t\right)=5t^2+4e^t

take the first derivative

W'(t)= \frac{d}{dt}\left(5t^2\right)+\frac{d}{dt}\left(4e^t\right)

W'(t)= 5\frac{d}{dt}\left(t^2\right)+4\frac{d}{dt}\left(e^t\right)

W'(t)= 5\left(2t\right)+4\left(e^t\right)

{\color{Red} W'(t)= 10t+4e^t}..............first derivative

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