Art of Learning Mathematics
Saturday, 2 May 2015
d
d
x
(
tan
x
)
=
1
cos
2
x
d
d
x
(
sec
x
)
=
sec
x
⋅
tan
x
d
d
x
(
csc
x
)
=
−
csc
x
⋅
cot
x
d
d
x
(
cot
x
)
=
−
1
sin
2
x
d
d
x
(
arcsin
x
)
=
1
1
−
x
2
−
−
−
−
−
√
d
d
x
(
arccos
x
)
=
−
1
1
−
x
2
−
−
−
−
−
√
d
d
x
(
arctan
x
)
=
1
1
+
x
2
d
d
x
(
a
x
)
=
a
x
⋅
ln
a
d
d
x
(
e
x
)
=
e
x
d
d
x
(
ln
x
)
=
1
x
,
x
>
0
d
d
x
(
ln
|
x
|
)
=
1
x
,
x
≠
0
d
d
x
(
log
a
x
)
=
1
x
⋅
ln
a
,
x
>
0
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