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Question 3 5 pts Find $F'(x)$ if $F(x) = \int_{1}^{x} e^{-t} dt$ $-e^{-x} + e^{-1}$ $2xe^{-x}$ $e^{-x}$ $2te^{-t}$

Name: question 3 5 pts find fx if fx int1x e t dt e x e 1 2xe x e x 2te t 03356
Uploaded: 2022-09-02T07:11:00-08:00
Duration: 2 min 14 s
Channel: Adi S
Description: question 3 5 pts find fx if fx int1x e t dt e x e 1 2xe x e x 2te t 03356

          Question 3
5 pts
Find $F'(x)$ if $F(x) = \int_{1}^{x} e^{-t} dt$
$-e^{-x} + e^{-1}$
$2xe^{-x}$
$e^{-x}$
$2te^{-t}$

Added by Emma S.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

09/02/2022

Step 1

The function is given by $F(x) = \int_{1}^{x} e^{-t} dt$. We need to find $F'(x)$. This problem can be solved using the Fundamental Theorem of Calculus, Part 1. The theorem states that if $F(x) = \int_{a}^{x} f(t) dt$, then $F'(x) = f(x)$. In our case, $a = 1$ Show more…

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