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2.1 - 2.2 Basic Derivatives Flashcards | StudBud
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2.1 - 2.2 Basic Derivatives
2.1 - 2.2 Basic Derivatives
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Calculus -- Derivatives
Flashcards
18 cards
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Questions
18
Answers
1
This function is not differentiable at x = 0 because there is a . . . .
sharp turn
cusp
discontinuity
vertical tangnent
2
Find y' if y = 3cosx - x
3sinx -1
-3sinx
-3sinx - 1
3sinx - x
3
Find the derivative of 1/x
3
-3/x2
-3/x4
3x2
3x4
4
Find dy/dx if y = x
5
+ 3x
2
- 2x + 5
5x4 + 6x -2
x4 + 3x - 2
5x3 - 3x - 2
5x4 - 6x - 2x + 5
5
The graph of the derivative of a function f(x) describes the _____ of f(x) at a point.
asymptotes
slope
symmetry
life
6
To find a horizontal tangent to a function f, take its derivative and . . .
simplify
run
set it equal to 1
set it equal to 0
7
Find the derivative of f(x) = sinx
-cosx
-sinx
sinx
cosx
8
True or False: A function can be continuous but not differentiable at a point.
False
True
9
Find f ' (x) if f(x) = x
6/5
5/6x11/5
6/5x1/5
6/5x11/5
5/6x1/5
10
Find the derivative of y = 2√x
√x
1/√x
1/2√x
-2√x
11
Differentiate the function below . . .
y' = -6x2
y' = -3x3
y' = -3
y' = -6x
12
Differentiate the function below . . . .
y' = 5x
y' = 4x5
y' = 5x4
y' = x4
13
Find the derivative of y = -3 cosx
-3/2 sinx
3sinx
2cosx
-3cosx
14
This is the . . . .
Difference Quotient
Slope of the Secant
Definition of the Derivative
Power Rule
15
This function is not differentiable at x = 0 because there is a . . . .
discontinuity
vertical tangent
cusp
corner
16
T or F: If a function is not continuous at a point, then it is not differentiable at that point
True
False
17
The graph of the derivative of the function below would look like . . . .
a parabola
A unicorn
a non-horizontal line
a horizontal line
18
This function is not differentiable at x = 0 because there is a . . . .
corner
discontinuity
cusp
vertical tangent