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 and follow the given format and procedure but DO NOT COPY THE GIVEN FUNCTION. Note: CREATE YOUR OWN FUNCTION, DO NOT TRY TO COPY OR SOLVE THE EXAMPLE OUTPUT BELOW.
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 and follow the given format and procedure but DO NOT COPY THE GIVEN FUNCTION. Note: CREATE YOUR OWN FUNCTION, DO NOT TRY TO COPY OR SOLVE THE EXAMPLE OUTPUT BELOW.
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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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 and follow the given format and procedure but DO NOT COPY THE GIVEN FUNCTION.
Note: CREATE YOUR OWN FUNCTION, 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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