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Differentiation basics Flashcards | StudBud
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Differentiation basics
Differentiation basics
11 terms
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Calculus -- Derivatives
Flashcards
11 cards
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Questions
11
Answers
1
Differentiate the function below . . .
y' = -6x
y' = -3x3
y' = -6x2
y' = -3
2
This is the . . . .
Alternate Definition of the Derivative
Definition of the Derivative
Quotient Rule
Power Rule
3
Differentiate the function
18(3x+2)6
18(3x+2)5
6x3
6(3x+2)5
4
Differentiate the function
9x3 + 8x2 - 5
6x2 + 6x - 5
9x2 + 8x - 5
5
The graph of the derivative of a function f(x) describes the _____ of f(x).
symmetry
asymptotes
gradient
life
6
Differentiate the function below . . . .
y' = 4x5
y' = 5x4
y' = x4
y' = 5x
7
Integrate the following
5x
0
C
5x+C
8
Integrate the following...
x3 + x2 + c
x3 - x2
x3 - x2 + c
⅓x3 - ½x2 + c
9
The graph of the derivative of the function below would look like . . . .
An Apple
a non-horizontal line
a parabola
a horizontal line
10
Differentiate the function below . . .
y' = -3
y' = -6x
y' = -6x2
y' = -3x3
11
To find a horizontal tangent to a function f, take its derivative and . . .
set it equal to 1
set it equal to 0
run
simplify