What is the derivative of e to the power of x?

Calculus Derivatives and Rules

Interactive Video
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Mathematics
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9th - 12th Grade
•
Medium

Aiden Montgomery
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
e^(x+1)
x * e^x
x^e
e^x
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you find the derivative of a^u where a is not e?
a^u * u' * ln(a)
a^u * u'
a^u * ln(a)
a^u * ln(e)
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of 3^x?
3^x * ln(3)
3^x * x
3^x * ln(e)
3^x * 3
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of e raised to the sine of x?
e^(sin x) * sec x
e^(sin x) * cos x
e^(sin x) * sin x
e^(sin x) * tan x
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which rule is used to find the derivative of x^3 * e^(4x)?
Power Rule
Chain Rule
Quotient Rule
Product Rule
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of x^3 * e^(4x) using the product rule?
3x^2 * e^(4x) + 4x^3 * e^(4x)
3x^2 * e^(4x) - 4x^3 * e^(4x)
3x^2 * e^(4x) + x^3 * e^(4x)
3x^2 * e^(4x) + 4 * e^(4x)
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the formula for the quotient rule?
(g * f' - f * g') / g^2
(f * g' - g * f') / g^2
(f' * g - g' * f) / f^2
(g' * f - f' * g) / f^2
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