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Finding Derivatives
Finding Derivatives
25 terms
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StudBud Administration
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Practice and understand the basics for finding derivatives #calculus #deriviative
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1
What is the derivative of the function f(x) = cos(x) + 7x
3
csc2(x) + 21x2
-sin(x) + 21x2
sin(x) + 21x2
-cos(x) + 21x2
2
What is the derivative?
-1/4√1-x2/16
1/4√1-x2/16
4/√1-x2/16
-4/√1-x2/16
3
Find the derivative of e
ln(2x-1)
eln^(2x-1)
2eln^(2x-1)
2
0
4
What is the derivative of the function f(x) = (2x
2
+ 4x)
5
5(2x2 + 4x)4(4x + 4)
(2x2 + 4x)4(4x + 4)
5(2x2 + 4x)(4x + 4)
5(4x + 4)4
5
Find the equation of the tangent at the given point.
y+7 = -3/4(x-1)
y-7 = -3/4 (x-1)
y-7 = 3/4 (x-1)
y+7 = 3/4 (x-1)
6
Find the derivative of y = e
sin(x)
cos(x)esin(x)
ecos(x)
esin(x)
sin(x)ecos(x)
7
What is the rule shown in the image
Quotient Rule
Product Rule
Chain Rule
None of the above
8
What is the derivative of f(x) = 2x
21
+ 5x
5
+ 2
42x20 + 25x4
42x21 + 25x5 + 2
42x21 + 25x5
42x20 + 25x4 + 2x
9
What is the rule shown in the image
Product Rule
Quotient Rule
Chain Rule
None of the above
10
What is the derivative of f(x) = ln(3)
0
1/3
3/x
1/3x
11
If the derivative of a function is zero everywhere, the function is most likely...
constant
everywhere zero
concave up
growing exponentially
12
What is another name for the first derivative of distance with respect to time?
Speed
Velocity
Jerk
Acceleration
13
What is another name for the second derivative of distance with respect to time?
Speed
Jerk
Acceleration
Velocity
14
What is the derivative of f(x) = cos
-1
(7x)
-1/√(1+49x2)
-1/√(1-49x2)
7/√(1+49x2)
-7/√(1-49x2)
15
What is the derivative of f(x) = cot
-1
(3x)
-1/√(1-9x2)
-1/9x2+1
-3/3x√(9x2-1)
-3/9x2+1
16
What is the rule shown in the image
Quotient Rule
None of the above
Chain Rule
Product Rule
17
What is the derivative of the function f(x) = x
5
+ 4x
2
- 13
(1/6)x6 + (4/3)x3 - 13x
5x4 - 8x
5x4 + 8x
5x + 8x
18
What is the derivative of f(x) = 3x (x
2
- 6x)
4
12x (x2 - 6x)3
12x (x2 - 6x)3(2x - 6)
3(x2 - 6x)4 + 4(x2 - 6x)3(2x - 6)
3(x2 - 6x)4 + 12x(x2 - 6x)3(2x - 6)
19
What is the derivative?
x/y
y/x
-y/x
-x/y
20
The derivative of a function is referred to as the...
set of solutions of an equation
zero of a function
None of the above
slope of a line
21
What is the derivative?
-x/√x+1
x/√(2x+1)
x/√x+1
-x/√(2x+1)
22
Find the derivative of y = csc(x)
sec(x)
csc2(x)
sec(x)tan(x)
-csc(x)cot(x)
23
What is the derivative of y = x + cot(x)
1+sec2(x)
1+csc2(x)
1-sec2(x)
1-csc2(x)
24
What is the derivative?
1/(2y(x+1)2)
2y/(x+1)2
1/(y(x+1)2)
(x+1)2/2y
25
Differentiate the function f(x) = e
x^4
ex^4
4x3ex^4
4x3
4x3ex^3
