y = 5x2 – 3x – 4 | | Finding the derivative of y: y = 5x? – 3x – 4 y' = 10x – 3 Finding the antiderivative of the resulting function: |(10x – 3)dx = f 10r de - f 3dx = 10 :dx – 3 | dx = 10 — Зх + С = 5x? – 3x + C_

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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Construct YOUR OWN example of how to determine the derivative of a given function and the process for finding the antiderivative of the function you have obtained. Also, kindly refer to the output sample provided below.

y = 5x2 – 3x – 4
|
|
Finding the derivative of y:
y = 5x? – 3x – 4
У%3D 10х — 3
Finding the antiderivative of the resulting function:
|(10x – 3)dx
= J 10x de - 3dr
= 10
:dx – 3 | dx
= 10
— Зх + С
E 5x2 — Зх + С
Transcribed Image Text:y = 5x2 – 3x – 4 | | Finding the derivative of y: y = 5x? – 3x – 4 У%3D 10х — 3 Finding the antiderivative of the resulting function: |(10x – 3)dx = J 10x de - 3dr = 10 :dx – 3 | dx = 10 — Зх + С E 5x2 — Зх + С
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