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17 Derivatives Quiz Flashcards | StudBud
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17 Derivatives Quiz
17 Derivatives Quiz
25 terms
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A #project to explain the #17 derivatives to my #Calculus with Applications class
Flashcards
25 cards
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Practice quiz
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Questions
25
Answers
1
Differentiate the function f(x)=e
8x
f1(x)=e8x
f1(x)=8x
f1(x)=8e8x
f1(x)=16e8x
2
True or false: Power rule is number value of the functions exponent times the c then x
n-1
.
False
True
3
Find the derivative of
y
= log
2
6
x
.
6/(ln2)(6x)
(a')(b)+(b')(a)
(6x)(ln2)/6
d/dx
4
What is the derivative of f(x) = 2x
5
?
f1(x)=10x6
f1(x)=12x5
f1(x)=10x4
f1(x)=7x5
5
The sum and difference rule is...
The d/dx of the +/- of the function is the +/- of the d/dx
1st times d/dx of the 2nd plus the 2nd times d/dx of 1st
Low dee high minus high dee low / low low
6
Use the sum and difference rule to differentiate f(x)=2x
3
+ 5x
2
f1(x)=6x2-10x
f1(x)=5x2+7x
f1(x)=6x2+10x
f1(x)=6x3+10x2
7
d/dx In(x)=1/x means...
Low dee high minus high dee low / low low
None of these above
The derivative of natural log of x is 1/x
8
Which of these functions needs the product rule to differentiate?
f(x)=(x−2)(x+3)
f(x)=2x7
f(x)=(4x+9)6
f(x)=e4x+6
9
Find y' if y = x
3
cot x
3x3 csc x - x3 csc2 x
3x2 cot x - x3 csc2 x
3x2 cot x + x3 csc2 x
10
What is this the derivative of? (ln of base)×(the equation itself)×(derivative of the exponent)
au
a(u-1) × a
quotient rule
au1
11
What is the derivative of f(x)=ln(x)?
f1(x)=1/x
f1(x)=ln/x
f1(x)=x
f1(x)=0
12
-(sin u)u' is the derivative of...
tan u
csc u
sin u
cos u
13
d/dx of csc u=
idek
-(csc u cot u)u'
(sec2 u)u'
1/sin u
14
Find f
1
(x) if f(x) equals ln 2.
f1(x)=2/x
f1(x)=1/x
f1(x)=0
f1(x)=2
15
What is the derivative of 1/cos u?
sec u
-(csc u cot u)u'
(cos u)u'
(sec u tan u)u'
16
What is the derivative of sin u/cos u?
tan u
cot u
sec u
(sec2 u)/ u'
17
What is the derivative of f(x)=x?
f1(x)=1
None of these above
f1(x)=1/x
f1(x)=0
18
The product rule is...
1st times d/dx of the 2nd plus the 2nd times d/dx of 1st
Power rule on function outside the () times dy/dx of inside
19
What is the derivative of sin(u)?
(cos u)u'
1/cos u
sohcahtoa
cos(u)
20
What derivative rule takes the derivative of the constant and multiplies it by the coefficient?
Constant multiple rule
Power rule
Sum and difference rule
Product rule
21
What differentiation rule makes the derivative of any constant 0?
Constant rule
Constant multiple rule
Quotient rule
Product rule
22
Use the chain rule to differentiate f(x)=(5x-8)
1/2
.
f1(x)=5/2(5x-8)1/2
f1(x)=5/2(x-8)-1/2
f1(x)=5/2(2x-8)1/2
f1(x)=1/(x-8)1/2
23
Chain rule is...
Low dee high minus high dee low / low low
d/dx In(x)=1/x
Power rule on function outside the () times d/dx of inside
24
What rule requires you to do low Dee high minus high dee low / low low?
Product rule
Chain rule
Power rule
Quotient rule
25
Find the derivative of f(x) = 3x-9/2-x
f1(x)=30x/(2-x)2
f1(x)=24/(7)2
None of these above
f1(x)=15/(2-x)2
