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Duplicate of Math Derivatives Calculus Flashcards | StudBud
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Duplicate of Math Derivatives Calculus
Duplicate of Math Derivatives Calculus
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#derivatives #Calculus #Math #IB #Estela #Cambridge #International #Baccalaurette
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1
What is the derivative for y = 3sinx/x
dy/dx= 3(xcosx-sinx)/x2
dy/dx= 3(xsinx+cosx)/x2
dy/dx= 3(xcosx+sinx)/x2
dy/dx= 3(xcosx-sinx)/x
2
What is the derivative for y= 3/x
2
?
y'= -6x-3
y'= -6x3
y= -6x-3
y'= 6x-3
3
What are derivatives useful for?
To calculate the mean of a set of numbers
To find the range of a model
To Calculate the best fit line in a scatter graph
To calculate the gradient of a curve in different places
4
What is the derivative for dy/dx=√x?
dy/dx= - 1/2*x-1/2
d2y/dx2= -1/2*x-1/2
dy/dx = 1/2*x1/2
d2y/dx2= -1/2*x-1/2
5
What is the derivative for y= 6/∛x ?
f '(x)= -2(1/3√x4)
f '(x)= -2(1/4√x3)
f (x)= -2(1/4√x3)
f '(x)= 2(1/4√x3)
6
What is the derivative of f (x)= x
7
dx/dy= 6x7
f (x)= 6x7
f '(x)= 7x6
f '(x)= 6x6
7
What is the derivative for f (x)=5x
2
?
dx/dy = 10x
f'(x)= 10x
y '= 10x2
y= 10x2
8
What is the derivative for y=2/√x + x
4
?
y '=1/√x3 + 4x3
y '=1/√x3 + 4x4
y =1/√x3 + 4x3
y '=1/√x2 + 4x3
9
What is the way we derivate functions?
Derivation
Limits
Differentiation
Calculus
10
What is the derivative for dy/dx = 1 + 1/x ?
y '= x-2
y '= 1/x2
y '= -1/x2
y = -1/x2
11
What is the derivative for f(x)= (x+3)
2
?
f(x) = 2(x+3)
f'(x)= 2x+6
f'(x)= 2(x-3)3
f'(x)= 2x-6
12
What rule is used for differentiation?
f '(x)= anXn
f '(x)= anXn-1
f'(y)= anXn-1
f(x)=anXn-1
13
What happens to a constant during differentiation?
There can not be constants in differentiation
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
14
What is the derivative for y= 3x
2
+x-3 ?
f '(x)= 6x + 3
f '(x)= 6x-2 + 1
f '(x)= 6x + 1
f '(x)= 6x2 + 1
15
What are the ways to name the derivative?
f '(x), dx/dy, y '
f '(y), dy/dx, y'
f '(x), dy/dx, y'
f (x), dy/dx, y'
16
What is derivative to dy/dx= X
-4
?
dy/dx= -4x-5
d2y/dx2 -5x-4
dy/dx= -4x5
d2y/dx2= -4X-5
17
What is the derivative for f(x)= x
-1
?
dy/dx= -x2
dx/dy= -x-2
dy/dx= x-2
dy/dx= -x-2
18
How do you find y using the differentiation method?
You have to equate to 0
The differentiation method only works to find the gradient
The differentiation method is used to find the X coordinate
You replace "x" with a value in the equation
19
What is the derivative for y = lnx - 8/15x
-(5/2)
?
y '= 4/3x7/2 + 1/x
y '= 4/3x7/2 + 1/x
y = 4/3x7/2 + lnx
y '= 4/3x6/2 + 1/x
20
What is the derivative for csc(x)?
-sin(x)
cos(x)
-csc(x)tan(x)
sec(x)tan(x)
21
A Rocket's height function is h(t)=e
0.9t
-1. What is the rate of change of height at 5 seconds?
5 ft/sec
81.015 ft/sec
82.015 ft/sec
148.413 ft/sec
22
What is the derivative for sin(x)?
cos(x)
-cos(x)
tan(x)
-sin(x)
23
What do you need to do to find dy/dx for y = f(x) + g(x)?
Neither are Differentiated
Only Differentiate f(x)
Only Differentiate g(x)
Differentiate f(x) and g(x)
24
What is the derivative for dy/dx= x
3
-4x
2
?
d2x/dy2= 3x2 -16x
d2x/dy2 = 3x2 -8x
d2x/dy2= 3x2 -8x2
d2x/dy2= 3x3 -8x
25
What is the derivative for y= x
2
+ 1/x?
y '=2x+ 1/x2
y = 2x-1/x2
y '=2x -1/x2
y '= 2-1/x-2
