What happens to a constant during differenciation?

The value of the constant will be equal to 0

What happens when you have Y= f(x) + g(x)?

Both f(x) and g(x) are derivated

What are derivatives useful for?

To calculate the gradient of a curve in different places

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Svær differential regning 2 stx

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Questions 18

Answers

1
What are the ways to name the derivative?
f '(x), dy/dx, y'
f '(x), dx/dy, y '
f (x), dy/dx, y'
f '(y), dy/dx, y'
2
What is the derivative for f(x)= 2x³+9
dy/dx= 6x3
dy/dx= 3x2
dy/dx= 4x2
dy/dx= 6x2
3
What happens to a constant during differenciation?
There can not be constants in differenciation
The value of the constant will be the same
The value of the constant will be equal to 0
The value of the constant will be equal to 1
4
What is the way we derivate functions?
Derivation
Diferenciation
Diferencienciation
Calculus
5
What is the derivative for y= 3/x²?
y'= 6x-3
y= -6x-3
y'= -6x3
y'= -6x-3
6
What is the differenciation of f (x)= x⁷
dx/dy= 6x7
f (x)= 6x7
f '(x)= 7x6
f '(x)= 2x6
7
What is the derivative for y= 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)
8
What is the derivative for f(x)= (x+3)² ?
y '= 2x + 3
y = 2x + 6
y '= x + 3
y '= 2x + 6
9
What is the derivative for f(x)= x^-1?
dy/dx= -x2
dy/dx= x-2
dy/dx= -x-2
dx/dy= -x-2
10
What happens when you have Y= f(x) + g(x)?
Both f(x) and g(x) are derivated
Only f(x) is derivated
Only g(x) is derivated
Neither are derivated
11
What is the derivative for y= 3x²+x-3 ?
f '(x)= 6x2 + 1
f '(x)= 6x + 3
f '(x)= 6x + 1
f '(x)= 6x-2 + 1
12
What is the derivative for dy/dx=\sqrt{x}?
f '(x)= \frac{-1}{2⋅\sqrt{x}}
f '(x)= \frac{1}{2⋅\sqrt{x}}
f '(x)= \frac{1}{2⋅x^{-\frac{1}{2}}}
f (x)= \frac{1}{\sqrt{x}}
13
What are derivatives useful for?
To calculate the mean of a set of numbers
To find the range of a model
To calculate the gradient of a curve in different places
To Calculate the best fit line in a scatter graph
14
What is the derivative for f (x)=5x²?
dx/dy = 10x
y '= 10x2
y= 10x2
f'(x)= 10x
15
What is the derivative for dy/dx = 1 + 1/x ?
y = -1/x2
y '= 1/x2
y '= x-2
y '= -1/x2
16
Whats the rule for differenciation of f(x)=ax^n?
f(x)=anXn-1
f'(y)= anXn-1
f '(x)= anXn
f '(x)= anXn-1
17
What is the derivative for dy/dx= x³-4x²?
f '(x)= 3x3 -8x
f (x)= 3x2 -8x
f '(x)= 3x2 -16x
f '(x)= 3x2 -8x
18
What is the answer to dy/dx= X^-4?
f '(x)= -5x-4
f (x)= -4x-5
f '(x)= -4x5
dy/dx= -4X-5

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