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Derivatives Review
d/dx 2x3x2
d/dx sin-1(x)
Derivatives Review
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#W200 calculus I basic derivatives review
Flashcards
15 cards
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Questions
15
Answers
1
d/dx sin
-1
(x)
-1/√1-x
1/√1-x2
1/√1-x
-1/√1-x2
2
d/dx 2x3x
2
2(6x)-2x3x2
2x3x2-2(6x)
2(6x)
2(3x2)-2x(6x)
3
d/dx 5x
3
15x2
5x2
15x
15x3
4
d/dx ln |3|
1/ln(3)
ln3
3
1/3
5
d/dx ln |x|
1/x
x
1/lnx
lnx
6
d/dx a
x
ax
xa
ln(a)
axln(a)
7
d/dx f(x)g(x)
f'(x)g(x)
f(x)g(x)+f'(x)g'(x)
f'(x)g'(x)
f'(x)g(x)+g'(x)f(x)
8
d/dx f(x)/g(x)
[f(x)g(x)]f'(x)/g'(x)
[g(x)f'(x)-f(x)g'(x)]/(g(x)2)
f'(x)/g'(x)
[g(x)f'(x)-f(x)g'(x)]/g(x)
9
d/dx 4x
3
12x
12x2
4x2
12x3
10
d/dx e
x
xe
xex
ex
e
11
d/dx tanx
secx
secxtanx
sec2x
tanx
12
d/dx sinx
-cosx
sinx
cosx
-sinx
13
d/dx x
x
x2
-x
1
14
d/dx √x
(1/2)x
2x2
(1/2)x-1/2
(1/2)x1/2
15
d/dx 5
x
x5x
ln5
5xln5
5x