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Derivatives (Chain and Trig Functions) Flashcards | StudBud
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Derivatives (Chain and Trig Functions)
Derivatives (Chain and Trig Functions)
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Derivatives (Product, Chain, Trig)
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Answers
1
If given the velocity function v(t) = 3t
2
-8t, which function is a possible position function?
s(t)=2t3-4t2+2
s(t)=t3-t2+8
s(t)=t3+8t2
s(t)=t3-4t2+2
2
At what x value does a horizontal tangent exist if f'(x) = (x+3)/(2x+1) ?
x = 1/2
x = 3
x = -3
x = - 1/2
3
What is the derivative of y= 2/(3x
4
)
6x-5
162x-5
6x-3
-8/3 x-5
4
What is the derivative of x
2
+3y
2
=16 ?
dy/dx = 16 - x/3y
dy/dx = -x/3y
dy/dx = 2x+6y
dy/dx = x/3y
5
What is the equation of the tangent to f(x) = 5x
2
- 7x + 10 at the point where x = 2?
y + 4 = 13(x - 2)
y + 4 = 3(x - 2)
y - 4 = 13(x + 2)
y + 2 = 13(x - 4)
6
What is f'(x) if f(x) = sec x cot x ?
-csc x cot x
sec x tan x - csc2x
csc2 x
cos x tan x
7
Which of the following is the derivative of f(g(x))?
f'(g(x)) · g'(x)
f'(x) · g'(x)
f'(g(x))
f'(g'(x))
8
What is the third derivative of f(x) = cos x ?
sin x cos x
sin x
- sin x
cos x
9
What is the derivative of f(x)= cot(x) - 3sec(x)
-sec2(x) - 3tan2(x)
-csc2(x) +3sec(x)tan(x
csc2(x) - 3sec(x)tan(x)
-csc2(x) - 3sec(x)tan(x)
10
What is the derivative of f(x)= 5/x
3
-15x4
-15x2
-15/x2
-15/x4
11
What is the derivative of f(x)=x
5
cosx
-5x4cosx
-5x4sinx
5x4cosx-x5sinx
5x4cosx+x5sinx
12
What is the derivative of f(x) = tan(7x)+7e ?
7sec2(7x)+7
7sec2(7x)
-sec2(7x)
7sec(7x)tan(7x)
13
What is the derivative of f(x)=cos(x)tan(x)
sec2(x)cos(x)+sin(x)tan(x)
sin(x)
-sin(x)sec2(x)
cos(x)
14
What is the derivative of f(x)=2x
2
+x
2x+1
4x
2x
4x+1
15
Given a position function s(t) = t
3
-5t
2
+ 4t - 2, when will acceleration = 8?
t = 3
t = 35
t = 5/3
t = 8
16
What is the derivative of f(x)=tan(x)+x
3
-sec2(x)+3x
csc2(x)+3x2
sec2(x)+3x2
tan(x)+3x2
17
The second derivative of the position function represents...
jerk
acceleration
velocity
gravity
18
Which is the derivative of f(x) · g(x)?
f(x)·g'(x) + g(x)f'(x)
f(x)·g'(x) - g(x)f'(x)
f'(x) + g'(x)
f'(x)·g'(x)
19
What is the derivative of f(x)=sin(3x)+4
-3cos(x)
cos(3x)+4
3cos(3x)
sin(3x)
20
What is the derivative of f(x)=(2x+1)
2
8x+4
8x
4x
4x+2
