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AP Calculus AB Application of Derivatives Flashcards | StudBud
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AP Calculus AB Application of Derivatives
AP Calculus AB Application of Derivatives
10 terms
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Chapter 3: application of derivatives.
Flashcards
10 cards
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Practice quiz
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Questions
10
Answers
1
y = 3(ln(x
2
))
2
Find d/dx
12x(ln(x2))
36x2(ln(2x))
6(ln(x2))
12(ln(x2)) / x
2
F(x) = 3x
5
- 5x
4
+ 1
Find all inflection points!
x = 2
x = 0
x = 1
x = 0 & x = 1
3
Given the function y = 5 - 3x
2
Find the slope of the line tangent to the curve at
x = 2
17
-12
-7
12
4
Given the equation s(t) = t
3
- 6t
2
+ 9t
When is the particle moving forward?
(0,1) (3,∞)
(0,1) (1,3)
(1,3)
(-∞,1) (3,∞)
5
The position function is s(t) = t
3
- 3t
2
+ 5
Find the acceleration after 2 seconds has passed.
6 ft/s2
0 ft2/s
6 ft2/s
0 ft/s2
6
F(x) = (cos (2x))(sin (3x))
What is f
'
(pi / 3)?
3/2
rad 3 / 2 pi
pi / 3
-3/2
7
Find two numbers whose sum is
36
and whose product is as large as possible.
16 & 20
6 & 6
12 & 24
18 & 18
8
H
2
O drains from a cylinder at 3 L/sec.
How fast is the surface dropping? I would use ...
*Cry*
Optimization
Differentiation
Related Rates
9
2xy + 3x
2
= 954
Find dy/dx
SIMPLIFY
(6x-2y) / 2x
(-6x-2y) / 2x
(3x-y) / -x
(-3x-y) / x
10
If f(x) = e
1/x
then
f
'
(x) = __?
e1/x / x2
- e1/x / x2
-1/x / e2x
-ex2 / x
