What is the antiderivative of the square root of x?

Antiderivatives and Initial Value Problems

Interactive Video
•
Mathematics, Business, Science
•
9th - 12th Grade
•
Hard

Patricia Brown
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
x^(3/2) + C
x^(1/2) + C
3x^(1/2)/2 + C
2x^(3/2)/3 + C
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When finding the antiderivative of 2 over x, what is the result?
2ln|x| + C
ln|x| + C
x^2 + C
2x + C
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the antiderivative of e^(6x)?
e^(6x) + C
e^(x) + C
1/6 e^(6x) + C
6e^(6x) + C
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you adjust the coefficient when finding the antiderivative of e^(3x)?
Add 3
Multiply by 3
Multiply by 1/3
Divide by 3
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In an initial value problem, what is the purpose of the given condition?
To find the derivative
To determine the function
To solve for the constant C
To find the integral
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the antiderivative of x squared in an initial value problem?
1/2 x^2 + C
x^3 + C
1/3 x^3 + C
x^2 + C
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In a business context, what does the marginal cost represent?
The total cost
The derivative of the cost function
The fixed cost
The profit
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