
Derivatives and Rules of Differentiation

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

Lucas Foster
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the two main rules introduced for solving derivatives in this tutorial?
Exponential and Logarithmic Rules
Sum and Difference Rules
Product and Chain Rules
Quotient and Power Rules
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the product rule, if f(x) = h(x) * g(x), what is the expression for f'(x)?
h(x) * g'(x) + h'(x) * g(x)
h'(x) * g(x) + h(x) * g'(x)
h(x) * g(x)
h'(x) * g'(x)
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When applying the product rule, what is the first step?
Multiply the two functions
Take the derivative of the first function
Add the derivatives of both functions
Subtract the second function from the first
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the example f(x) = 5x^5 - x^7, what is the derivative of the first function?
25x^4 - 7x^6
5x^4 - x^6
25x^5 - 7x^7
5x^5 - x^7
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of the second function in the example 20x^2 + 3x - 7?
40x + 3
40x - 21x^8
40x - 21x^-8
20x + 3
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the example f(x) = 10x^3 + 5x^2 - 7, what is the derivative of the first expression?
30x^2 + 10x
10x^3 + 5x^2
10x^2 + 5x
30x^3 + 5x
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of the second expression 20x^8 - 7?
20x^7
160x^8
20x^8
160x^7
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