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 = [ 10x dr - f 3dx = 10 :dx – 3 | dx = 10 — Зх + С = 5x? – 3x + C_
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 = [ 10x dr - f 3dx = 10 :dx – 3 | dx = 10 — Зх + С = 5x? – 3x + C_
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 17E: Find the constant of proportionality. y is directly proportional to x. If x=30, then y=15.
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Question
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 look to the EXAMPLE output provided below.
Note: CREATE YOUR OWN, DO NOT TRY TO COPY OR SOLVE THE EXAMPLE OUTPUT BELOW.
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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