
Understanding Derivatives of Exponential Functions

Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Medium
Standards-aligned

Amelia Wright
Used 1+ times
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Standards-aligned
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of e^x?
1/x
x^e
e^x
ln(x)
Tags
CCSS.HSF.BF.B.5
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When applying the chain rule to e^(u(x)), what is the derivative?
e^(u(x)) * u'(x)
u(x) * e^(u(x))
e^(u(x)) + u'(x)
u'(x) / e^(u(x))
Tags
CCSS.HSF.BF.B.5
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If the base of an exponential function is not e, what additional factor appears in the derivative?
Square of the base
Natural log of the base
Exponential of the base
Reciprocal of the base
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the special limit that defines the number e?
The limit of e^n as n approaches zero
The limit of n/e as n approaches infinity
The limit of n^n as n approaches zero
The limit of (1 + 1/n)^n as n approaches infinity
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the product rule, what is the derivative of a product of two functions f(x) and g(x)?
f(x) + g(x)
f'(x)g'(x)
f(x)g(x)
f'(x)g(x) + f(x)g'(x)
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of e^(-2x) using the chain rule?
-2e^(-2x)
2e^(-2x)
e^(-2x)
-e^(-2x)
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of a quotient of two functions f(x) and g(x)?
(g(x)f'(x) - f(x)g'(x)) / (g(x))^2
(f(x)g(x)) / (g(x))^2
(f(x)g'(x) + g(x)f'(x)) / (g(x))^2
(f'(x)g'(x)) / (g(x))^2
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
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