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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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Answers
1
What is the differenciation of f (x)= x
7
f '(x)= 6x7
f '(x)= 2x6
dx/dy= 6x7
f (x)= 6x7
2
What is the derivative for f(x)= x
-1
?
dy/dx= -x-2
dy/dx= -x2
dy/dx= x-2
dx/dy= -x-2
3
What is the derivative for dy/dx= x
2
+ 1/x?
y '= -1/x2
y '= -1/x-2
y = -1/x2
y '= 1/x2
4
What is the derivative for f(x)= (x+3)
2
?
y '= 2x -7/x2
y '= 2x -7/x
y '= 2x -6/x2
y = 2x -7/x2
5
How do you find y using the differenciation method?
You replace "x" with a value in the equation
The differenciation method only works to find the gradient
You have to equate to 0
The differenciation method is used to find the X coordinate
6
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
7
What are derivatives useful for?
To calculate the gradient of a curve in different places
To calculate the mean of a set of numbers
To Calculate the best fit line in a scatter graph
To find the range of a model
8
What is the derivative for dy/dx=√x?
f (x)= 1/2x-1/2
f '(x)= -1/2x-1/2
f '(x)= 1/2x-1/2
f '(x)= 1/2x1/2
9
What are the ways to name the derivative?
f '(x), dx/dy, y '
f (x), dy/dx, y'
f '(x), dy/dx, y'
f '(y), dy/dx, y'
10
What is the derivative for y= 6/∛x ?
f '(x)= -2(1/4√x3)
f (x)= -2(1/4√x3)
f '(x)= -2(1/3√x4)
f '(x)= 2(1/4√x3)
11
What is the derivative for y= 3x
2
+x-3 ?
f '(x)= 6x2 + 1
f '(x)= 6x + 1
f '(x)= 6x-2 + 1
f '(x)= 6x + 3
12
What is the answer to dy/dx= X
-4
?
dy/dx= -4X-5
f (x)= -4x-5
f '(x)= -4x5
f '(x)= -5x-4
13
What is the derivative for f (x)=5x
2
?
dx/dy = 10x
y '= 10x2
f'(x)= 10x
y= 10x2
14
What is the derivative for f(x)= 2x
3
+9
dy/dx= 6x2
dy/dx= 3x2
dy/dx= 4x2
dy/dx= 6x3
15
What rule is used for differenciation?
f'(y)= anXn-1
f(x)=anXn-1
f '(x)= anXn
f '(x)= anXn-1
16
What is the derivative for dy/dx= x
3
-4x
2
?
f '(x)= 3x2 -8x
f '(x)= 3x3 -8x
f (x)= 3x2 -8x
f '(x)= 3x2 -16x
17
What is the derivative for y=2/√x + x
4
?
y '=1/√x2 + 4x3
y '=1/√x3 + 4x4
y =1/√x3 + 4x3
y '=1/√x3 + 4x3
18
What is the derivative for dy/dx= 5x - 8/15x
-(5/2)
?
y '= 4/3x7/2 + 5
y '= 4/3x7/2 + 5x
y '= 4/3x6/2 + 5
y = 4/3x7/2 + 5
19
What is the way we derivate functions?
Calculus
Diferencienciation
Derivation
Diferenciation
20
What is the derivative for dy/dx = 1 + 1/x ?
y = -1/x2
y '= 1/x2
y '= -1/x2
y '= x-2
21
What is the derivative for y= 3/x
2
?
y'= -6x3
y'= -6x-3
y= -6x-3
y'= 6x-3
22
What happens to a constant during differenciation?
The value of the constant will be equal to 1
The value of the constant will be the same
There can not be constants in differenciation
The value of the constant will be equal to 0
