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Duplicate of Chain and Trig Rules Flashcards | StudBud
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Duplicate of Chain and Trig Rules
Duplicate of Chain and Trig Rules
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StudBud Administration
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Derivatives (Product, Chain, Trig)
Flashcards
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Questions
13
Answers
1
What is the derivative of f(x)=x
5
cosx
-5x4sinx
-5x4cosx
5x4cosx+x5sinx
5x4cosx-x5sinx
2
The second derivative of the position function represents...
jerk
acceleration
velocity
gravity
3
What is the third derivative of f(x) = cos x ?
sin x cos x
- sin x
cos x
sin x
4
Which of the following is the derivative of f(g(x))?
f'(x) · g'(x)
f'(g'(x))
f'(g(x))
f'(g(x)) · g'(x)
5
If given the velocity function v(t) = 3t
2
-8t, which function is a possible position function?
s(t)=t3+8t2
s(t)=t3-t2+8
s(t)=2t3-4t2+2
s(t)=t3-4t2+2
6
What is the derivative of f(x)=sin(3x)+4
3cos(3x)
-3cos(x)
sin(3x)
cos(3x)+4
7
What is the derivative of f(x)= 5/x
3
-15/x4
-15x2
-15x4
-15/x2
8
What is the derivative of f(x)=(2x+1)
2
4x+2
4x
8x+4
8x
9
What is the derivative of f(x)=cos(x)tan(x)
-sin(x)sec2(x)
sec2(x)cos(x)+sin(x)tan(x)
sin(x)
cos(x)
10
Given a position function s(t) = t
3
-5t
2
+ 4t - 2, when will acceleration = 8?
t = 3
t = 5/3
t = 35
t = 8
11
What is the derivative of f(x)=2x
2
+x
2x+1
4x+1
2x
4x
12
What is the derivative of y= 2/(3x
4
)
-8/3 x-5
6x-3
162x-5
6x-5
13
What is the derivative of f(x)=tan(x)+x
3
tan(x)+3x2
-sec2(x)+3x
sec2(x)+3x2
csc2(x)+3x2
