Лекции / производ табл

4)

1

=−

1

x

x

x

2

5)

(a x )

=a x

ln a; a =const 0,a 1

x

6)

(e x )

=e x

x

7)

(log

x)

=

1

;

a =const 0,a 1

a

x

x ln a

8)

(ln x)

=

1

x

x

9)

(sin x)

=cosx

x

10)

(cosx)x =−sin x

11)

(tgx)x =

1

2

(

)x

cos x

2

12)

ctgx

=−

1

sin

x

13)

(arcsinx)x =

1

2

1−x

14)

(arccosx)x

=−

1

1−x2

(

)x

1

2

15)

arctgx

=

1+x

(

)x

=−

1

2

16)

arcctgx

1+x