Calculus Challenge

Calculus Challenge

University

10 Qs

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Calculus Challenge

Calculus Challenge

Assessment

Quiz

Mathematics

University

Practice Problem

Easy

Created by

Nama Belakang

Used 1+ times

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the derivative of f(x) = 3x^2 + 2x - 5?

f'(x) = 3x^2 + 2

f'(x) = 6x - 2

f'(x) = 3x^2 + 2x - 5

f'(x) = 6x + 2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which rule is used to find the derivative of a product of two functions?

Quotient Rule

Product Rule

Chain Rule

Power Rule

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the definite integral of f(x) = 4x^3 + 2x^2 - 3x + 1 from 0 to 2?

28 + 16/3

28 + 16/2

28 + 16/4

28 + 16/5

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In which situation would you use L'Hopital's Rule?

When simplifying algebraic expressions

When solving systems of linear equations

When finding the derivative of a function

When evaluating limits resulting in indeterminate forms

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the area under the curve y = x^2 from x = 0 to x = 3?

9

15

12

6

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the limit of (sin(x) / x) as x approaches 0?

2

1

0

π

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the second derivative of f(x) = 5x^4 - 3x^2 + 2x?

f''(x) = 10x^4 - 3x^2 + 2

f''(x) = 30x^3 - 6

f''(x) = 60x^2 - 6

f''(x) = 20x^2 - 3

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