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Maloco National High School Final Examination in Basic Calculus

This document appears to be a final exam in basic calculus for Maloco National High School. The exam has four sections testing students' abilities to: 1) Match functions with their derivatives 2) Determine antiderivatives 3) Integrate functions using substitution 4) Determine derivatives using rules for finding derivatives The exam contains multiple choice and short answer questions intended to evaluate students' mastery of key calculus concepts.

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Ean Fagar
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77 views2 pages

Maloco National High School Final Examination in Basic Calculus

This document appears to be a final exam in basic calculus for Maloco National High School. The exam has four sections testing students' abilities to: 1) Match functions with their derivatives 2) Determine antiderivatives 3) Integrate functions using substitution 4) Determine derivatives using rules for finding derivatives The exam contains multiple choice and short answer questions intended to evaluate students' mastery of key calculus concepts.

Uploaded by

Ean Fagar
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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MALOCO NATIONAL HIGH SCHOOL

SCORE:
_____
Final Examination in Basic Calculus

NAME: ______________________________________ SECTION: _________ DATE: March __, 2020

I. Match the functions in column A with its corresponding derivatives in column B. Write only the letter of your
answer.
Column A Column B
f  x   3x  5x  2
2
f'  x   2x  6
1. _____ a.
3
f  x   x 4  3x 2  2x f'  x   6x 3  6x  2
b.
2. _____ 2
f  x   2x 3  3x 2  x  3 f '  x   15x 2  1
3. _____ c.
1
f  x   5x 3  x 2 f'  x   6x 2  6x  1
d.
4. _____ 2
f  x   x  3 
2
f'  x   6x  5
5. _____ e.

II. Determine the following antiderivatives.


1
x dx
3

1.
3.
 x dx
5

3 
    4 x  3x 3  1d x
4
3x 3  x d x 
2. 4.

III. Integrate the following by substitution

 3x  x 
4
2 3
1 d x
 x  2x 
1. 5
2 3
3 dx
2.
IV. Determine the derivative of the following functions using the Rules in Finding the Derivatives.

f  x   3  
f  x   x 2  x  3x 
1. 4.

f  x   3x 2  2x  4 f  x   4x 3  x
2. 5.

3.

f  x    2x  3  3x 2  f  x 
3x 2
6. x 1

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