
Differentiation and Integration of Exponential Functions

Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Hard

Aiden Montgomery
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of integrating x^3?
x^5/5 + C
x^3/3 + C
x^2/2 + C
x^4/4 + C
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When applying the reverse chain rule, what must you remember to do with the inside function?
Subtract the derivative of the inside function
Divide by the derivative of the inside function
Multiply by the derivative of the inside function
Add the derivative of the inside function
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can you simplify the integrand 4x^2 + x before integrating?
Separate terms and integrate each individually
Combine terms into a single fraction
Multiply all terms by x
Factor out the greatest common factor
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the integral of e^x with respect to x?
e^(x+1) + C
x^e + C
x^2 + C
e^x + C
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is e^x unique when it comes to differentiation and integration?
It becomes zero when differentiated
It remains unchanged when differentiated or integrated
It becomes a constant when integrated
It changes to a polynomial when differentiated
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a common mistake when integrating exponential functions?
Treating the base as a variable
Multiplying by the derivative of the exponent
Increasing the index by one and dividing by it
Forgetting to add a constant of integration
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What should you do to verify your integration result?
Check if the derivative of the result matches the original integrand
Ensure the result is a polynomial
Multiply the result by the original function
Add a constant to the result
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