stud
bud
Sign up
Log in
Home
Library
Explore
SAT
More
Calculus: Derivatives Flashcards | StudBud
Explore
/
Calculus: Derivatives
x
(x-y)2=x+y-1 HINT: USE IMPLICIT
Calculus: Derivatives
30 terms
·
StudBud Administration
·
18 plays
Imported from external platform
Flashcards
30 cards
F
Practice quiz
P
Host live
L
Questions
30
Answers
1
(x-y)
2
=x+y-1 HINT: USE IMPLICIT
1
(2y-2x+1)/(2y-2x-1)
2(x-y)
<p>(2y-2x+1)(2y-2x-1)</p>
2
x
1
x
x+c
0
3
(6x)(x
2
)
18x2
6x3
18x3
6x2
4
4x-5tan(9x)
4-40sec2(9x)
40sec2(9x)
4-5sec2(9x)
4-sec(9x)tan(9x)
5
ln (x)
e
1/x
0
x ln (x)
6
<p>3x
2
-sin(7x+5) </p>
<p>6x-7cos(7x+5)</p>
6x-7sin(7x+5)
6x+7cos(7x+5)
6x-7cos(7x+5)
7
3
2x
6x
(3xln3)(2
6x
(32xln3)(2)
8
sin
-1
(x)
cos-1(x)
-1/(1-x2)
(1-x2)-1/2
1-x2
9
x
7
-3x
4
7x6-12x3
7x+c
7x-3x4
7x-12x
10
Find the derivative of the following functions:
Ok
Ok
Ok
Ok
11
ln(7x)
7x ln(7)
1/x
7/x
1/7x
12
ln (e)
1/x
0
e ln (x)e
e
13
y=sin(3x+4y) HINT:USE IMPLICIT
cos(3+4)dy/dx
(3cos(3x+4y))/(1-4cos(3x+4y))
coz(7)dy/dx
(3cos(3x+4y))/(1-4sin(3x-4y))
14
(4x)/(x
2
)
-4/x2
4x2/x4
4/x2
4x2-8x2
15
csc(x)
tan2x
-csc(x)cot(x)
sec2x
csc(x)cot(x)
16
tan
-1
(x)
1/(1+x2)
1/(1-x2)
-1/x2
1+x2
17
sin(x)
sin(x)
0
-cos(x)
cos(x)
18
sin(3x)
sin(x)
3cos(3x)
3sin(x)
3cos(x)
19
3
x
3xln(x)
3xln3
3x(x-1)
3x
20
6(5x+18)
30x
30
30x+108
(5x+18)(5)
21
tan(x)
sin(x)/cos(x)
sec2x
tan2x
sec(x)tan(x)
22
cos
-1
(x)+4x
9
-1/(1-x2)1/2+36x8
x8+1/(1-x2)1/2
-1/(1-x2)1/2
-36/(1-x2)1/2
23
2x/x
2
2x
0
1/x2
24
x
2
+y
2
=25 HINT: USE IMPLICIT
x/(25-x2)1/2
2x+2y
Indeterminate
x/(x2-25)
25
sec(3x
5
)
sec(3x5)(15x4)
15x4sec(3x5)tan(3x5)
sec(3x5)tan(3x5)
tan2(3x5)
26
e
x
0
xex-1
e
ex
27
x
3/4
(3/4)x-3/4
<p>(3/4)x</p>
(3/4)x-1/4
(3/4x)-1/4
28
x
2
2x
2
2x+c
2x2
29
cot(x)
sec2x
-1/sec2x
-csc2(x)
csc2(x)
30
ln(10x
2
)
1/10x2
2ln(10x)
2/x
2ln(10x)(10)
