Formulario de Derivadas Basicas PDF

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Formulario completo de derivadas básicas ...

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Formulario de Derivadas Funciones B´ asicas: 3.

d [x] dx

6.

d [ex ] dx

9.

d [sen(x)] dx

=1 = ex = cos(x) = − csc2 (x)

1.

d [c] dx

4.

d [|x|] dx

7.

d [loga(x)] dx

=0 =

x |x|

=

1 (ln a)x

2.

d [xn ] dx

5.

d [ln(x)] dx

8.

d [ax ] dx

= nxn−1 =

1 x

= (ln a)ax

10.

d [cos(x)] dx

= −sen(x)

11.

d [tan(x)] dx

= sec2 (x)

13.

d [sec(x)] dx

= sec(x) tan(x)

14.

d [csc(x)] dx

= − csc(x) cot(x)

12.

d [cot(x)] dx

15.

d [arcsen(x)] dx

=

√ 1 1−x2

16.

d [arccos(x)] dx

=

√ −1 1−x2

17.

d [arctan(x)] dx

=

1 1+x2

18.

d [arccot(x)] dx

=

−1 1+x2

19.

d [arcsec(x)] dx

=

√1 |x| x2 −1

20.

d [arccsc(x)] dx

=

√−1 |x| x2 −1

21.

d [senh(x)] dx

= cosh(x)

22.

d [cosh(x)] dx

= senh(x)

23.

d [tanh] dx

24.

d [coth(x)] dx

= −csch2 (x)

25.

d [sech(x)] dx

= −sech(x)tanh(x)

26.

d [csch(x)] dx

27.

d [senh−1 (x)] dx

=

√ 1 x2 +1

28.

d [cosh−1 (x)] dx

=

√ 1 x2 −1

29.

d [tanh−1 (x)] dx

30.

d [coth−1 (x)] dx

=

1 1−x2

31.

d [sech−1 (x)] dx

=

√−1 x 1−x2

32.

d [arccsc(x)] dx

= sech2 (x) = −csch(x)coth(x) =

=

1 1−x2

√−1 |x| 1+x2

Propiedades 1.

d [cu] dx

4.

d u [ ] dx v

= cu′

=

vu′ −uv′ v2

2.

d [u dx

± v] = u′ ± v ′

3.

d [uv ] dx

= uv ′ + vu′...