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