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Derivatives: Product/Quotient/Velocity/Acceleration Flashcards | StudBud
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Derivatives: Product/Quotient/Velocity/Acceleration
Derivatives: Product/Quotient/Velocity/Acceleration
10 terms
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StudBud Administration
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44 plays
calculus, derivatives, product, quotient, velocity, acceleration
Flashcards
10 cards
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Questions
10
Answers
1
f(x)=x
2
(4x
3
+5x), find f'x
-4x4+5x2
5(4x4+3x2)
12x3+14x-20
20x3+12x2
2
from previous problem (s(t)=t
3
-4t+2). Is the particle speeding up or slowing down at t=1
constant
speeding up
slowing down
It's not moving
3
v(t)=-32t+64, What is the acceleration at a(24)
-768
-32
768
32
4
Using the velocity of the previous question. What is the speed?
-32
96
32
-96
5
f(x)=3x
2
+4x-5, find f''(x)
0
4
6x
6
6
"particle question" s(t)=t
3
-4t+2. Is the particle moving left to right or right to left at t=1
down
left to right
sideways
right to left
7
f(x)=(7x
5
-4x)/(x
4
-2), find f'(x)
(7x8-90x4+8)/(x8-4x4+8)
(7x8-58x4+8)/(x8-4x4+8)
(35x7-42x5)/(x4-2)
None of the above
8
f(x)=3x
2
+4x-5, find f'(x)
I don't know what this means!
3x3
6x+4
6x+1
9
The derivative describes _____________.
the slope of the tangent line
the slope of the original function
the absolute maximum
the average rate of change between an interval
10
s(t)=-16t
2
+64t-8, What is the velocity of the function at v(3).
32
96
-96
-32
