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AB Calculus: Basic Derivatives Flashcards | StudBud
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AB Calculus: Basic Derivatives
AB Calculus: Basic Derivatives
18 terms
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A review game of unit 3
Flashcards
18 cards
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Practice quiz
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Questions
18
Answers
1
ln(5x)
1/5x
1/x
5/x
5x
2
if f(x)= 6x^2, the f'(5)=
60
6
27
15
3
if y=3, y'=
0
3
3x
1
4
if y=(x^2-1)/3x^4 , then dy/dx=
(2x^2-4)/ 3x^5
- 3x^5/(2x^2-4)
3x^5/(2x^2-4)
-(2x^2-4)/ 3x^5
5
Compute the derivative of Y= 7sec(x) + 5csc(x)
-7sec(x)tan(x)+5cot(x)csc(x)
7sec(x)tan(x)+5cot(x)csc(x)
7sec(x)tan(x)−5cot(x)csc(x)
7tan(x) + 5cot(x)
6
d/dx(5^x)=
5
(ln5)*5^x
5^5x
5^x
7
if, Y=cos(x) + tan(x) , then dy/dx=
cos(x) + sin(x)
-sin(x) + sec^2(x)
sin(x) + sec^2(x)
-sin^2(x)
8
if y=10x, then y''=
0
10x
10
1
9
if y=-7x^3, then y'=
21x^2
7x^2
-7x^2
-21x^2
10
If y= sin(2x^2/5), then dy/dx=
-(4xcos(2x^2/5))/5
(4xcos(2x^2/5))/5
-(4xsin(2x^2/5))/5
(4xsin(2x^2/5))/5
11
if f(x)= x^5/2, then f'(4)=
50
12
40
20
12
if, Y=cos(x) + tan(x) , then dy/dx=
cos(x) + sin(x)
sin(x) + sec^2(x)
-sin(x) + sec^2(x)
-sin^2(x)
13
if y=sin(x^2 + x) dy/dx=
sin(2x+1)
-cos(x^2+x) (2x+1)
-sin(2x+1 )
cos(x^2+x) (2x+1)
14
if y=7x^2 + 4x, dy/dx=
-14x + 4
7x + 4
-7x + 4x
14x + 4
15
y= 5^(x^3-2) , then dy/dx
((5^x^3-2)*ln(5))*3x^2
-((5^x^3-2)*ln(5))*3x^2
((5^x^3-2)*)5*3x^2
-((5^x^3-2)*)5*3x^2
16
Find the equation of the tangent line to Y=2x^3 + 4x^2 +6x +8 at (1,2)
y=20x- 18
y=20x+18
y=-20x=18
y=-20x+ 18
17
Find the equation of the tangent line to 4x^2 + 2x -4 at (2,0)
y=-12x+18
y= 36x+18
y=-18x+36
y= 18x-36
18
Find the slope of the tangent line to the graph of f at x=3 , given that f(x)= 4x^2 -7x
17
-17
16
13
