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Differentiation Rules Flashcards | StudBud
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Differentiation Rules
Differentiation Rules
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Questions
21
Answers
1
T/F: The Chain Rule applies to the equation below
False
True
2
Differentiate the function below...
What is that?!
y' = cot x
y' = cos x
y' = -csc2x
3
Which differentiation rule would apply to the equation below?
Quotient Rule
Single Variable Rule
Chain Rule
General Power Rule
4
Differentiate... 4x
2
6x
8x2
8x
8
5
What is the derivative of the equation?
y' = 45x
y' = 45x-1
y' = - 45
I guess I don't have any good calculus jokes...at least I know my limits
6
Differentiate...g(x) = 4x
3/4
+2x
-2
+5
No derivative is possible
g'(x) = 3x1/4+4x-3
g'(x) = 12x3+4x+5
g'(x) = 3x-1/4- 4x-3
7
What is the derivative of the graph below?
y' = 2x2 + 5x - 5
y' = 2x
3x
The first one
8
Differentiate...y=6x
24
144x
y' = 4x
144x23
144x24
9
Differentiate...y = 4x
2/5
y' = \frac{8}{5}x^{-\frac{3}{5}}
y' =
y' = \frac{8x}{5}
y' = \frac{8}{5}x^{\frac{7}{5}}
10
Differentiate...y = sin(\sqrt{3x^2+2x})
cos(\sqrt{3x^2+2x})
Math puns are the first sin(madness)
(3x + 1) (cos(\sqrt{3x^2+2x}))
cos(6x +2)
11
T/F: The graph below is a constant function
False
True
12
Differentiate the function below...
\frac{2x-2}{6}
y' = \frac{x-1}{3}
y' = \frac{3x^2-4x+1}{2x^2}
\frac{3x^2-5x+1}{x^2}
13
Differentiate...z(x) = csc 4x
z'(x) = 4 sin (4x)
z'(x) = -csc(x)cot(x)
z'(x) = -4 csc(x)cot(x)
z'(x) = -4 csc(4x)cot(4x)
14
Differentiate...f(x)=4
0
4
c
1
15
Which differentiation rule applies to the equation (in its current form) below?
Product Rule
Quotient Rule
Don't drink and derive
Sum and Difference Rule
16
What's your favorite color?
Brown. Just brown.
Aquamarine
Orange
This is stupid. I'm supposed to be practicing derivatives.
17
Derive...y = 10
10
1
0
20
18
Which differentiation rule applies to the function below?
Chain Rule
Sum and Difference Rules
Constant Function
Single Variable Rule
19
T/F: The Sum and Difference Rules apply to the equation below.
True
False
20
Find the derivative of the function below...
y' = - sin x
y = sec2x
y' = cos x
y' = - cos x
21
Differentiate: h(x) = cos (x
2
)
h'(x) = -2x cos(x2)
h'(x) = -2x sin(x2)
h'(x) = -sin(x2)
h'(x) = 2x sin(x2)
