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11MAA Math Derivatives Calculus Flashcards | StudBud
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11MAA Math Derivatives Calculus
11MAA Math Derivatives Calculus
20 terms
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#derivatives #Calculus #Math #IB #Estela #Cambridge #International #Baccalaurette
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Questions
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Answers
1
When dy/dx is 0 ..
The gradient is at its fastest
It is a stationary point.
It can only be a maximum
It can only be a minimum
2
What is the derivative for y= 3x
2
+x-3 ?
f '(x)= 6x + 3
f '(x)= 6x + 1
f '(x)= 6x-2 + 1
f '(x)= 6x2 + 1
3
What is the derivative for y= 3/x
2
?
y'= -6x-3
y'= 6x-3
y= -6x-3
y'= -6x3
4
What is the derivative for dy/dx=√x?
f '(x)= 1/2x1/2
f '(x)= 1/2x-1/2
f '(x)= -1/2x-1/2
f (x)= 1/2x-1/2
5
Which method would you use to differentiate the following?
chain and product rule
chain rule
chain and quotient rule
quotient rule
6
What is the derivative for f(x)= 2x
3
+9
dy/dx= 6x3
dy/dx= 4x2
dy/dx= 3x2
dy/dx= 6x2
7
What is the derivative for f(x)= (x+3)
2
?
y '= 2x -7/x2
y '= 2x -7/x
y = 2x -7/x2
y '= 2x -6/x2
8
Which method would you use to differentiate the following?
product rule
chain and product rule
chain rule
quotient rule
9
What rule is used for differenciation?
f '(x)= anXn-1
f(x)=anXn-1
f '(x)= anXn
f'(y)= anXn-1
10
What are the ways to name the derivative?
f '(y), dy/dx, y'
f (x), dy/dx, y'
f '(x), dy/dx, y'
f '(x), dx/dy, y '
11
What happens when you have Y= f(x) + g(x)?
Both f(x) and g(x) are derivated
Only g(x) is derivated
Only f(x) is derivated
Neither are derivated
12
What is the answer to dy/dx= X
-4
?
dy/dx= -4X-5
f '(x)= -4x5
f (x)= -4x-5
f '(x)= -5x-4
13
Which method would you use to differentiate the following?
quotient rule
chain and product rule
product rule
chain rule
14
What is the way we derivate functions?
Differentiation
Divide
Integration
Calculus
15
Which method would you use to differentiate the following?
product rule
chain rule
quotient rule
chain and product rule
16
What is the differenciation of f (x)= x
7
f (x)= 6x7
f '(x)= 7x6
dx/dy= 6x7
f '(x)= 2x6
17
What are derivatives useful for?
To find the range of a model
To calculate the mean of a set of numbers
To Calculate the best fit line in a scatter graph
To calculate the gradient of a curve in different places
18
What is the derivative for dy/dx = 1 + 1/x ?
y = -1/x2
y '= -1/x2
y '= 1/x2
y '= x-2
19
What happens to a constant during differenciation?
There can not be constants in differenciation
The value of the constant will be equal to 0
The value of the constant will be the same
The value of the constant will be equal to 1
20
Which method would you use to differentiate the following?
quotient rule
chain and quotient rule
chain and product rule
chain rule
