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Math Derivatives Calculus Flashcards | StudBud
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Math Derivatives Calculus
Math Derivatives Calculus
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#derivatives #Calculus #Math #IB #Estela #Cambridge #International #Baccalaurette
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Questions
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Answers
1
What is the differentiation of f(x)= x
7
dx/dy = 6x7
f'(x)= 2x6
f(x)= 7x6
f'(x)= 6x7
2
Which are notations for first derivatives?
f'(y), d/dx, y''
f(x), g(x), y
f'(x), dy/dx, y'
f''(x), d2y/dx2, y''
3
What is
dy
/
dx
[4x - 3x
-5
] ?
4 + 15x-4
2x2 + 15x-6
4 + 15x-6
4x + 15x-4
4
What are derivatives useful for?
To Calculate the best fit line in a scatter graph
To calculate the gradient of a curve in different places
To calculate the mean of a set of numbers
To find the range of a model
5
What happens to a constant during differentiation?
The value of the constant will be equal to 1
The value of the constant will be equal to 0
The value of the constant will be the same
There can not be constants in differentiation
6
What rule is used for differentiate polynomials of the form x
n
?
f(x)=anxn-1
f'(y)= nxn-1
f'(x)= nxn-1
f'(x)= nxn
7
What is the derivative for y = 1 + 1/x ?
y' = -1/x2
y' = 1/x2
y' = x-2
y = -1/x2
8
How do you find y using the differentiation method?
You have to equate to 0
The differenciation method is used to find the X coordinate
The differenciation method only works to find the gradient
You replace "x" with a value in the equation
9
What is the derivative for y = 2x
3
+ 9
dy/dx = 6x2
dy/dx = 6x3
dy/dx = 3x2
dy/dx = 4x2
10
What is the derivative of y= 3/x
2
?
y = -6x-3
y' = -6x3
y' = 6x-3
y' = -6x-3
11
What is the derivative for f(x)=5x
2
?
y' = 10x2
f'(x) = 10x
y = 10x2
dx/dy = 10x
12
How do you differentiate y = f(x) + g(x)?
Neither are differentiated
Only f(x) is differentiated
Only g(x) is differentiated
Both f(x) and g(x) are differentiated
13
What is
dy
/
dx
[x
2
+ 1/x] ?
y' = 1/x2
y' = -1/x2
y = -1/x2
y' = -1/x-2
14
What is the derivative for f(x) = 6/∛x ?
f '(x)= -2(1/4√x3)
f '(x)= 2(1/4√x3)
f (x)= -2(1/4√x3)
f '(x)= -2(1/3√x4)
15
What is
dy
/
dx
[x
3
- 4x
2
] ?
3x2 -8x
3x2 - 16x
3x3 + 8x
-3x2 - 8x
16
What is the derivative for y = (x+3)
2
?
y '= 2x -7/x2
y '= 2x -7/x
y '= 2x -6/x2
y = 2x -7/x2
17
What is
dy
/
dx
[√x]?
dy/dx = 1/2x-1/2
dy/dx = -1/2x-1/2
f(x) = 1/2x-1/2
f'(x) = 1/2x1/2
18
What is
dy
/
dx
[ x
-4
]?
f(x) = -4x-5
dx/dy = -4x5
dy/dx = -4X-5
f'(x) = -5x-4
19
What is the derivative for f(x)= x
-1
?
f'(x) = x-2
f'(x) = ln x
f'(x) = ln |x|
f'(x) = -x-2
20
What is the derivative for y = 2/(√x) + x
4
?
y '=1/(√x3) + 4x3
y =1/(√x3) + 4x3
y '=1/(√x3) + 4x4
y '=1/(√x2) + 4x3
21
What is the derivative for y = 3x
2
+ x - 3 ?
f'(x) = 6x-2 + 1
f'(x) = 6x2 + 1
f'(x) = 6x + 3
f'(x) = 6x + 1
