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((3x - 1)2)5

(3 - x)/(x2 - 5)

derivatives

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calculus derivatives

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Questions 10

Answers

1
(3 - x)/(x² - 5)
(x2 + 5)/(x2 - 5)2
(x2 - 6x + 5)/(x2 - 5)
(x2 - 6x + 5)/(x2 - 5)2
(x2)/(x2 - 5)2
2
((3x - 1)²)⁵
30(3x - 1)9
15((3x - 1)2)4
6((3x - 1)1)5
10(3x - 1)9
3
1/(x² - 4)
-1/(x2 - 4)2
2x ln (x2 - 4)
-2x/(x2 - 4)2
-2x/(x2 - 4)
4
e^{2 ln x}
2x e2 ln x
2x
e2
2 e2 ln x
5
tan^-1 (x²)
2x/(1 + x2)
x2/(1 + x4)
2/(1 + x4)
2x/(1 + x4)
6
e^{tan 4x}
etan x sec2 x
4 etan x sec2 4x
etan x sec2 x
4etan x
7
e^π
0
tan -1(eπ)
πeπ
ln π
8
ln (ln x)
1/(x ln x)
1/ln x
x/ln x
1/x
9
cos²x - sin²x
2 cos x - 2 sin x
2 cos x sin x - 2 sin x cos x
-4 sin x cos x
-2 sin 2x
10
2/x
-2/x2
2 ln x
-2/x
2/x2