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Derivative Review Flashcards | StudBud

Explore/Derivative Review

Derivative Review

11 terms·StudBud Administration·46 plays

#derivatives #Calculus #Math #IB #International #Baccalaurette

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Questions 11

Answers

1
What is the derivative for y= 3/x²?
dy/dx= -2x-3
dy/dx= -6x-3
dy/dx= 6x-3
dy/dx= -6x3
2
What is the answer to f(x)= x^-4?
f '(x)= -4X-5
f '(x)= -4x5
f '(x)= -5x-4
f '(x)= 4x-5
3
What happens when you take the derivative of 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
4
What happens to a constant during differenciation?
The derivative of the constant will be equal to 0
There can not be constants in differenciation
The derivative of the constant will be equal to 1
The derivative of the constant will be the same
5
What is the derivative for y= x^-1?
dy/dx= x-2
dy/dx= x1
dy/dx= -x2
dy/dx= -x-2
6
What is the derivative for y= 1 + 1/x ?
dy/dx= -1/x2
dy/dx= 1/x2
dy/dx = -1/x-2
dy/dx= x-2
7
What are the ways to name the derivative?
f '(x), dy/dx
f '(x), dx/dy
f '(y), dy/dx
f (x), dy/dx
8
What is the differenciation of f (x)= x⁷
f '(x)= 2x6
dx/dy= 7x8
f (x)= 6x7
f '(x)= 7x6
9
What is the derivative for f(x)=√x?
f '(x)= -1/2x-1/2
f '(x)= 1/2x-1/2
f '(x)= 3/2x-1/2
f '(x)= 1/2x1/2
10
What rule is used for differenciation?
f '(x)= anXn-1
f '(x)= anXn
f'(y)= anXn-1
f(x)=anXn-1
11
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 gradient of a curve in different places