
Logarithmic and Exponential Derivatives

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

Aiden Montgomery
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary rule used when finding derivatives of exponential and logarithmic functions that are not base e?
Product Rule
Chain Rule
Power Rule
Quotient Rule
Tags
CCSS.HSF-IF.C.8B
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the function f(x) = 2 * 7^(3x^2 + 2), what is the base of the exponential function?
2
3
7
e
Tags
CCSS.HSF-IF.C.8B
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of the exponent 3x^2 + 2 in the function f(x) = 2 * 7^(3x^2 + 2)?
6x
3x
2x
9x
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
After applying the chain rule, what is the simplified form of the derivative of f(x) = 2 * 7^(3x^2 + 2)?
6x * ln(7) * 7^(3x^2 + 2)
12x * ln(7) * 7^(3x^2 + 2)
12x * ln(2) * 7^(3x^2 + 2)
6x * ln(2) * 7^(3x^2 + 2)
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it important to identify U and U' when using the chain rule?
To find the integral
To correctly apply the chain rule
To apply the product rule
To simplify the function
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to the derivative of a function if U is equal to x?
U' becomes 0
U' becomes 1
U' becomes x
U' becomes x^2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the function G(x) = -3 log base 2 of (12 - 5x), what is the base of the logarithm?
2
10
5
e
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