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Math Derivatives Calculus Flashcards | StudBud

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Math Derivatives Calculus

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Questions 11

Answers

1
What is the derivative for f (x)=5x²?
y '= 10x2
y= 10x2
dx/dy = 10x
f'(x)= 10x
2
What is the differenciation of f (x)= x⁷
f (x)= 6x7
dx/dy= 6x7
f '(x)= 2x6
f '(x)= 7x6
3
How do you find y using the differenciation method?
The differenciation method only works to find the gradient
You replace "x" with a value in the equation
The differenciation method is used to find the X coordinate
You have to equate to 0
4
What are derivatives useful for?
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
To calculate the slope of a curve in different places
5
What rule is used for differenciation?
f(x)=anXn-1
f '(x)= anXn
f'(y)= anXn-1
f '(x)= anXn-1
6
What happens when you have Y= f(x) + g(x)?
Both f(x) and g(x) are derivated
Neither are derivated
Only g(x) is derivated
Only f(x) is derivated
7
What is the derivative for f(x)= x^-1?
dy/dx= -x2
dx/dy= -x-2
dy/dx= x-2
dy/dx= -x-2
8
What is the derivative for f(x)= 2x³+9
6x2
6x3
3x2
4x2
9
What happens to a constant during differenciation?
The value of the constant will be equal to 0
The value of the constant will be equal to 1
There can not be constants in differenciation
The value of the constant will be the same
10
What is the derivative for dy/dx= x² + 1/x?
y '= -1/x2
y '= -1/x-2
y '= 1/x2
y = -1/x2
11
What are the ways to name the derivative?
f '(x), dy/dx
f '(x), dx/dy
f '(y), dy/dx
f (x), dy/dx