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MCV4U Final Exam Review Flashcards | StudBud
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MCV4U Final Exam Review
MCV4U Final Exam Review
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MCV4U Final Exam review #calculus #derivatives #vectors #limits #rateofchange
Flashcards
35 cards
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Questions
35
Answers
1
Given the function f(x) = e
x
, the derivative f'(x) = ?
f'(x) = ex
1/x
0
1
2
Determining the values of x when f'(x) = 0 or undefined is finding the _______________ ?
critical numbers
inflection points
critical points
intercepts
3
If the position function is given as s(t) = t
4
, then the velocity function is ?
v(t) = 4t2
v(t) = 4t3
v(t) = 4t3 + t2
v(t) = 12t2
4
If the displacement function is given as s(t) = t
4
, then the acceleration function is ?
a(t) = 4t2
a(t) = 4t3
a(t) = 12t2
a(t) = 4t3 + t2
5
The limit of the following function, as x ---> 3, is ______________
4
3
dne (does not exist)
1
6
Given the function f(x) = sin(4x)
, the derivative f'(x) = ?
4cos(4x)
4cos x
-4sinx
cos(4x)
7
The rate of change of a function is the _________________ ?
absolute value
inverse
reciprocal
slope
8
What is the derivative of the function f(x) = (2x
3
+ 1)
5
?
5(2x3 +1)4 (6x2)
2x15 + 1
5(2x3 +1)4
5(6x2 )4
9
Point A is a _________________?
global maximum
local minimum
local maximum
global minimum
10
What is the value of ln e ?
cos x
0
e
none of these
11
If you solve for x when f"(x) = 0 and has a sign change, then find the y value - these are...
local min/max. points
y-intercept
inflection points
asymptotes
12
What type of asymptote is found when you find the limit f(x) as x-----> ±∞
vertical asymptotes
horizontal asymptotes
oblique asymptotes
slant asymptotes
13
Point D is a _________________?
global maximum
local maximum
global minimum
local minimum
14
What is the Chain Rule?
dy/du . du/dx
a way to determine the derivative of a composite function
all of these
f'(g(x) . g'(x)
15
Given the function f(x) = 3
x
, the derivative f'(x) = ?
x . (3x-1)
3ex
x3
ln 3 . (3x)
16
The limit of the following function ?
5
7
0
undefined
17
The process of finding a derivative using _{\lim_{h->0}\frac{f(x+h)-f(x)}{h}} is called ?
rationalizing
first principles
optimization
factoring
18
Another notation to represent derivative besides f'(x) is....
y"
dy/dx
df
dx/dy
19
Given the function f(x) = 4x
5
, the derivative of the function f'(x) = ?
80x3
x2
5x4
20x4
20
Given the function g(x) = ∛x , the derivative of the function g'(x) = ?
x-1/3
x2/3
2 / 3x1/3
1/ 3x2/3
21
Given the function f(x) = -3x
3
+ x
2
+ 1, the derivative of the function f'(x) = ?
-9x2 + 2x
-9x2
-9x2 + 2x + 1
-9x2 + 2
22
Given the function f(x) = sin x
, the derivative f'(x) = ?
-sin x
cos x
-cos x
sin2x
23
Given the function h(x) = -17 , the derivative of the function h'(x) = ?
-17
-17x-1
0
17
24
Given the function f(x) = ln(4x)
, the derivative f'(x) = ?
4x
1/4
ln e
1/x
25
Given the function f(x) = x
100
+ 100x
-2
, the derivative of the function f'(x) = ?
100x99 - 200x-1
100x99 +100
100x99 + 200x-3
100x99 - 200x-3
26
The ______________ is when the slope of a tangent is used to find the rate of change at one point.
instantaneous rate of change
average rate of change
y"
secant
27
Point B is a _________________?
local maximum
local minimum
global minimum
global maximum
28
What is the Product Rule ?
(f )(g) + (g')(f')
none
(f ')(g) + (g')(f)
(f ')(g) - (g')(f)
29
In the interval x ϵ [0,7], Point E and F are _________________?
local minimums
absolute minimums
absolute maximums
local maximums
30
What is the Quotient Rule?
{(f ')(g) - (f)(g')} / g2
{(f ')(g) + (f)(g')} / g2
{(f )(g') - (f ')(g)} / g2
(f ')(g) + (f)(g')
31
Given the function f(x) = e
-x
, the derivative f'(x) = ?
xex
-e-x
1
e-x
32
The process of setting the derivative of a function equal to zero and solving it is called ?
tangent
dependence
first principles
optimization
33
Given the function f(x) = x
4/5
, the derivative of the function f'(x) = ?
4x-1/5 / 5
5x-1/5 / 4
5x-4/5 / 4
4x-3/5 / 5
34
Given the function f(x) = ln x
, the derivative f'(x) = ?
ex
1/x
x2
x-2
35
Given the function f(x) = cos x
, the derivative f'(x) = ?
cos x
sinx
-sin x
-cos x
