Returned 87 matches (100 formulae, 77 docs)
    Lookup 14.361 ms, Re-ranking 470.767 ms
    Found 269562 tuple postings, 145567 formulae, 19534 documents
[ formulas ] [ documents ] [ documents-by-formula ]

Doc 1
1.0000
0.0000
22.0000
2.8091
testing/wikipedia/v3/16716.html
d d x ( log c x ) = 1 x ln c ,   c > 0 , c 1
d d x ( ln x ) = 1 x ,   x 0
d d x ( ln | x | ) = | x | x 2
d d x ( c a x ) = c a x ln c a ,   c > 0
d d x ( e x ) = e x
d x d y = 1 d y / d x .
Doc 2
0.4878
-1.0000
10.0000
0.4878
testing/wikipedia/v3/06735.html
d d x ( ln x ) = 1 x .

Doc 3
0.4412
-3.0000
9.0000
0.6484
testing/wikipedia/v3/00699.html
d d x ( ln | x | ) = 1 x .
d d x ln ( x ) = 1 x .

Doc 4
0.3945
-4.0000
9.0000
0.3945
testing/wikipedia/v3/10330.html
d d x ( x ) = 1 x x = 1

Doc 5
0.3673
-8.0000
7.0000
0.3673
testing/wikipedia/v3/00237.html
d d x ( f * g ) = d f d x * g .

Doc 6
0.3200
-7.0000
7.0000
1.1957
testing/wikipedia/v3/00254.html
d d x ln ( x ) = 1 x ,   x > 0.
d d x log a ( x ) = 1 x ln ( a ) .
d d x arcsin ( x ) = 1 1 - x 2 , - 1 < x < 1.
d d x arctan ( x ) = 1 1 + x 2
d d x arccos ( x ) = - 1 1 - x 2 , - 1 < x < 1.

Doc 7
0.3200
-14.0000
7.0000
0.9411
testing/wikipedia/v3/13099.html
d d x ( 1 g ( x ) ) = - g ( x ) ( g ( x ) ) 2
d d x ( 1 g ( x ) ) = d d x ( f ( x ) g ( x ) )
d d x ( 1 x 3 + 4 x ) = - 3 x 2 - 4 ( x 3 + 4 x ) 2 .
Doc 8
0.3011
-2.0000
6.0000
0.3011
testing/wikipedia/v3/30201.html
d d x ( ρ u ) = 0

Doc 9
0.3011
-5.0000
6.0000
0.3011
testing/wikipedia/v3/00266.html
d d x ( μ y ) = μ q ( x )

Doc 10
0.3011
-5.0000
6.0000
0.3011
testing/wikipedia/v3/10464.html
d d x ( μ y ) = μ q ( x )

Doc 11
0.3011
-7.0000
6.0000
0.5083
testing/wikipedia/v3/00594.html
d d x log b x = 1 x ln b ,
d d x ln x = 1 x ,

Doc 12
0.2724
-3.0000
7.0000
0.2724
testing/wikipedia/v3/01665.html
d u d x ( x ) = 0 ,

Doc 13
0.2724
-17.0000
4.0000
0.5107
testing/wikipedia/v3/04090.html
P n ( x ) = 1 2 n n ! d n d x n ( [ x 2 - 1 ] n ) .
C n ( α + 1 ) ( x ) = 1 2 α d d x C n + 1 ( α ) ( x )

Doc 14
0.2724
-17.0000
4.0000
0.2724
testing/wikipedia/v3/07434.html
P ( x ) = 1 2 ! d d x [ ( x 2 - 1 ) ] ,

Doc 15
0.2724
-17.0000
4.0000
0.2724
testing/wikipedia/v3/07236.html
P n ( x ) = 1 2 n n ! d n d x n [ ( x 2 - 1 ) n ] .

Doc 16
0.2724
-17.0000
4.0000
0.2724
testing/wikipedia/v3/02190.html
P n ( x ) = 1 2 n n ! d n d x n [ ( x 2 - 1 ) n ] .

Doc 17
0.2724
-22.0000
4.0000
0.2724
testing/wikipedia/v3/10756.html
P l ( x ) = 1 2 l l ! d l d x l ( x 2 - 1 ) l ,  for  | x | 1

Doc 18
0.2542
-2.0000
6.0000
0.5085
testing/wikipedia/v3/16444.html
ϕ ( x ) = 1 x ,
ϕ ( x ) = 1 x s ,

Doc 19
0.2542
-2.0000
6.0000
0.2542
testing/wikipedia/v3/04315.html
f ( x ) = 1 x ,

Doc 20
0.2542
-5.0000
6.0000
0.2542
testing/wikipedia/v3/00145.html
d d x ( x 2 ) = 2 x .

Doc 21
0.2542
-6.0000
6.0000
0.5742
testing/wikipedia/v3/17871.html
d y d x ( 1 + x 2 ) = 1
d y d x = 1 1 + x 2
d y d x = 1 1 - x 2
Doc 22
0.2542
-6.0000
4.0000
0.2542
testing/wikipedia/v3/03301.html
δ ( x ) = d H ( x ) d x ,

Doc 23
0.2542
-7.0000
6.0000
0.4297
testing/wikipedia/v3/03420.html
d y d x ( 5 y 4 - 1 ) = 1
d y d x = 1 5 y 4 - 1 ,

Doc 24
0.2542
-10.0000
6.0000
0.2542
testing/wikipedia/v3/00580.html
d d x log b ( x ) = 1 x ln ( b ) .

Doc 25
0.2542
-11.0000
4.0000
0.2542
testing/wikipedia/v3/15170.html
f = 1 λ d d t ( R t x + R r x )

Doc 26
0.2542
-12.0000
6.0000
0.2542
testing/wikipedia/v3/02481.html
d d x ( 1 - x ) - 1 = ( 1 - x ) - 2 .

Doc 27
0.2542
-14.0000
6.0000
0.2542
testing/wikipedia/v3/03906.html
d d x ( 1 2 ( d t d x ) - 2 ) = f ( x )

Doc 28
0.2243
-2.0000
6.0000
0.6729
testing/wikipedia/v3/04392.html
cos ( arcsec x ) = 1 x
sin ( arccsc x ) = 1 x
tan ( arccot x ) = 1 x
Doc 29
0.2243
-4.0000
3.0000
0.2243
testing/wikipedia/v3/03506.html
d d x , D ,  D x ,

Doc 30
0.2243
-7.0000
6.0000
0.2243
testing/wikipedia/v3/06889.html
d d x = i 1 i d d x

Doc 31
0.2243
-7.0000
5.0000
0.4316
testing/wikipedia/v3/04624.html
ψ ( x + 1 ) = 1 x + ψ ( x )
Δ [ ψ ] ( x ) = 1 x

Doc 32
0.2243
-9.0000
4.0000
0.4316
testing/wikipedia/v3/09417.html
= d d t ( y ˙ x ˙ ) 1 x ˙
= d d x ( d y d x )

Doc 33
0.2073
-2.0000
5.0000
0.4145
testing/wikipedia/v3/08647.html
f ( x ) = 1 x
f ( x ) = 1 x 2 + 1

Doc 34
0.2073
-2.0000
5.0000
0.2073
testing/wikipedia/v3/27282.html
f ( x ) = 1 x

Doc 35
0.2073
-2.0000
5.0000
0.2073
testing/wikipedia/v3/16537.html
f ( x ) = 1 x

Doc 36
0.2073
-2.0000
5.0000
0.2073
testing/wikipedia/v3/01712.html
f ( x ) = 1 x

Doc 37
0.2073
-2.0000
5.0000
0.2073
testing/wikipedia/v3/00636.html
f ( x ) = 1 x

Doc 38
0.2073
-2.0000
5.0000
0.2073
testing/wikipedia/v3/05594.html
f ( x ) = 1 x

Doc 39
0.2073
-2.0000
5.0000
0.2073
testing/wikipedia/v3/17724.html
f ( x ) = 1 x

Doc 40
0.2073
-2.0000
5.0000
0.2073
testing/wikipedia/v3/00082.html
f ( x ) = 1 x

Doc 41
0.2073
-2.0000
3.0000
0.4145
testing/wikipedia/v3/03183.html
D = d d x ,
f ( x ) = d d x f ( x ) = k x k - 1 .

Doc 42
0.2073
-4.0000
5.0000
0.2073
testing/wikipedia/v3/09585.html
M ( x ) = 1 x 2 .

Doc 43
0.2073
-4.0000
3.0000
0.2073
testing/wikipedia/v3/09923.html
θ ( x ) = d w d x

Doc 44
0.2073
-5.0000
5.0000
0.2073
testing/wikipedia/v3/03892.html
f ( x ) = 1 x 2 + 1

Doc 45
0.2073
-5.0000
5.0000
0.2073
testing/wikipedia/v3/04989.html
f ( x ) = 1 x 2 + 1

Doc 46
0.2073
-5.0000
5.0000
0.2073
testing/wikipedia/v3/04480.html
p = d f d x ( x ) ,

Doc 47
0.2073
-5.0000
5.0000
0.2073
testing/wikipedia/v3/03370.html
f ( x ) = 1 x 3 - 1

Doc 48
0.2073
-5.0000
3.0000
0.2073
testing/wikipedia/v3/09549.html
f ( x ) = d y d x

Doc 49
0.2073
-6.0000
2.0000
0.2073
testing/wikipedia/v3/27384.html
P = i d d x ,  Q = x

Doc 50
0.2073
-7.0000
3.0000
0.2073
testing/wikipedia/v3/12599.html
f ( x ) = d d x f ( x )

Doc 51
0.2073
-8.0000
4.0000
0.2073
testing/wikipedia/v3/15214.html
f ( x ) = 1 2 ( a x + x )

Doc 52
0.2073
-8.0000
4.0000
0.2073
testing/wikipedia/v3/15245.html
f ( x ) = 1 2 ( x + 2 x )

Doc 53
0.2073
-9.0000
3.0000
0.2073
testing/wikipedia/v3/00521.html
d x d y = 1 d y / d x .

Doc 54
0.2073
-12.0000
3.0000
0.2073
testing/wikipedia/v3/14538.html
d d x ψ 1 ( 0 ) = d d x ψ 2 ( 0 )

Doc 55
0.2073
-20.0000
3.0000
0.2073
testing/wikipedia/v3/05993.html
H = 1 2 ( x p + p x ) = - i ( x d d x + 1 2 ) .

Doc 56
0.1875
-8.0000
5.0000
0.1875
testing/wikipedia/v3/07349.html
d y d x = 1 x d ϕ d t

Doc 57
0.1875
-36.0000
4.0000
0.3475
testing/wikipedia/v3/03235.html
d x x R = 1 - c arcsin ( b x + 2 c | x | b 2 - 4 a c ) ,  c < 0 , b 2 - 4 a c > 0
d x x R = - 1 c ln | 2 c R + b x + 2 c x | ,  c > 0

Doc 58
0.1754
-6.0000
4.0000
1.3109
testing/wikipedia/v3/05549.html
d d x coversin ( x ) = - cos x
d d x vercosin ( x ) = - sin x
d d x covercosin ( x ) = cos x
d d x versin ( x ) = sin x
d d x hacovercosin ( x ) = cos x 2
d d x haversin ( x ) = sin x 2
d d x hacoversin ( x ) = - cos x 2
d d x havercosin ( x ) = - sin x 2

Doc 59
0.1754
-7.0000
5.0000
0.1754
testing/wikipedia/v3/26372.html
- c c 1 x d x = 0 ,

Doc 60
0.1600
-1.0000
4.0000
0.1600
testing/wikipedia/v3/03722.html
d d x x

Doc 61
0.1600
-2.0000
4.0000
0.1600
testing/wikipedia/v3/06039.html
D = d d x

Doc 62
0.1600
-2.0000
4.0000
0.1600
testing/wikipedia/v3/30289.html
D = d d x

Doc 63
0.1600
-5.0000
4.0000
0.1600
testing/wikipedia/v3/12886.html
LSF = d d x ESF ( x )

Doc 64
0.1600
-6.0000
4.0000
0.1600
testing/wikipedia/v3/15372.html
d y d x = 1 2 y

Doc 65
0.1600
-7.0000
4.0000
0.1600
testing/wikipedia/v3/12783.html
d d x ln x = 1 x .

Doc 66
0.1600
-8.0000
4.0000
0.1600
testing/wikipedia/v3/00335.html
d d x log e x = 1 x .

Doc 67
0.1600
-9.0000
4.0000
0.8000
testing/wikipedia/v3/01762.html
d d x arcoth x = 1 1 - x 2
d d x artanh x = 1 1 - x 2
d d x arcosh x = 1 x 2 - 1
d d x arsinh x = 1 x 2 + 1
d d x arsech x = - 1 x 1 - x 2

Doc 68
0.1600
-9.0000
3.0000
0.1600
testing/wikipedia/v3/22001.html
d x d t = 1 H ν ( x ) ,

Doc 69
0.1600
-10.0000
4.0000
0.1600
testing/wikipedia/v3/08077.html
d d x χ 2 ( x ) = arctanh x x .

Doc 70
0.1600
-10.0000
3.0000
0.1600
testing/wikipedia/v3/03755.html
f 5 ( x ) = log c x ,   c 0 , 1

Doc 71
0.1600
-12.0000
3.0000
0.1600
testing/wikipedia/v3/16445.html
E = 1 2 ( d x d z ) 2 + Φ ( x )

Doc 72
0.1600
-16.0000
4.0000
0.1600
testing/wikipedia/v3/12695.html
D q = 1 x q d d ( ln x ) - 1 q - 1 ,

Doc 73
0.1600
-20.0000
4.0000
0.1600
testing/wikipedia/v3/00134.html
j n ( x ) = ( - x ) n ( 1 x d d x ) n sin ( x ) x ,

Doc 74
0.1121
-3.0000
3.0000
0.1121
testing/wikipedia/v3/09121.html
1 x d x

Doc 75
0.1121
-5.0000
3.0000
0.1121
testing/wikipedia/v3/03037.html
1 n 1 x d x

Doc 76
0.1121
-6.0000
3.0000
0.1121
testing/wikipedia/v3/04168.html
1 1 x 2 d x

Doc 77
0.0625
-6.0000
2.0000
0.0625
testing/wikipedia/v3/00545.html
- 1 1 d x x