Trabalho de calculo derivada

Lista de exercicios de Calculo

A. F(x)=  Sen(x)

[pic 1]

x5

F’(x)= cosx.x5 - senx.5x4

[pic 2]

( x5 )2

F’(x)= x4 ( x cosx – 5 senx)

x10[pic 3]

F’(x)= x.cosx – 5 senx x 6

[pic 4]

B. F(x)= 1+senx

[pic 5]

1-senx

F’(x)= cosx(1-senx)-(-cosx).(1+senx) 1 – 2 senx + sen²x

[pic 6]

F’(x)= cosx- cosx.senx – (- cosx – cosx.senx)_ 1 – 2senx + senx

[pic 7]

F’(x)= cosx – cosx. Senx + cosx + cosx. Senx 1 – 2senx + sen² x

[pic 8]

F’(x)=  2 cosx_________

[pic 9]

1 – 2senx + sen² x

1. F(x)= cotgx F’(x)= - cossec² x

1. F(x)= senx___

[pic 10]

1 + cos x

F’(x)= cosx(1+cosx) – (- senx) .senx 1 + 2 cosx + cos²x

[pic 11]

F’(x)= cosx + cos²x +sen²x 1 + 2 cosx + cos²x

[pic 12]

---

F’(x)=        cosx + 1_____

[pic 13]

1. + 2 cosx + cos²x

1. F(x)= Secx.Tgx

F’(x)= Secx.Tgx.Tgx + Secx.Sec²x F’(x)= Secx.Tg²x + Secx.Sec²x F’(x)= Secx.Tg²x + Sec³x

1. F(x)= 4 . cos x

[pic 14]

F’(x)=  0 . cosx + 4.(-senx)

F’(x)=  - 4.senx

G. F(x)= T².SenT

F’(x)= 2T.senT + T². cosT

F’(x)= T(2.senT + T. cost)

H. F(x)= 2x.cotgx + x². tgx

F’(x)= 2.cotg x + 2x .(- cossec²x) + 2x. tgx + x². sec² x F’(x)= 2.cotg x - 2x cossec²x + 2x. tgx + x². sec² x

I.

F(x)= Senx.cotgx

F’(x)= cosx. Cotgx + senx – cossec ² x

F’(x)= cosx. Cotgx – senx . cossec ² x

F’(x)= cos²x . cossecx – cossec x

J.

F(x)= cossecx___

[pic 15]

secx

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F’(x)= - Cossecx . Cotg x . Secx – Cossecx . Tgx. Secx

[pic 16]

Sec²x

F’(x)= Sec(- Cossec . Cotg x – Cossecx . Tgx)

[pic 17]

Sec²x

F’(x)= (- Cossecx . Cotg x – Cossecx . Tgx)

[pic 18]

Secx

F’(x)= (- Cossec . Cotg x – Secx)___

[pic 19]

Secx

L.

F(x)= 5x. cossecx

F’(x)= 5. (Cossecx) + 5x .(- Cossecx.Cotgx)

F’(x)= 5Cossecx -5xCossecx.Cotgx

F’(x)= 5Cossecx (1-xCotgx)

M.

F(x)=___1____

[pic 20]

Senx.Tgx

F’(x)= 0.Senx. Tgx + Cosx . Sec²x.1

F’(x)=  Cosx.Sec²x

F’(x)=  cosx.1____

...