Relatórios

Encontrem as derivadas das seguintes funções com respeito a variável x: f (x )=5 f (x )=5.x 7 =0 =35 x 6 =28x3−6x2 +8 f ( x )=x 8 =8 x 7 =4x+6 x−3

f (x )=2.x 2 −3.x−2

f ( x )=7x 4−2x 3+8x +5 f (x )=

f (x )=( 2x 3−4x 2 )(3x 5+ x 2) =18x 8+ 30x7 −60x6 +6x 5−20x 4−16x 3 f (x )= 3 x5 = −15 x6

2x 3+ 4 x 2−4x+1 6x 2 4x 4−8x 3+8x−16 = 2 − x −4x+ 1 (x 2−4x+ 1)2 f (x )=7x−5 f (x )=4x4 −
2

=7 1 4x 4 =16 x 3 + 1 x5

1 8 4 f (x )= x −x 8 f (x )=( 7−3x )
3
3 2

= x7 −4 x 3 =54 x −126x
6 3

x +2x +1 2 x −2x+1 2x+ 2 2x 3 +2x 2−2x−2 = 2 − x −2x+1 ( x 2−2x +1)2 f (x )= 2x +1 3x−1 ( 2x+1)3 (2x+ 1)4 =8 −12 (3x−1)4 (3x−1)5 f (x )= f (x )=(2x+ 1)
−3

x +1 (x² −2x−1+ 1) 2 x +3 3 3x −5 2x 4 + 4x+ 2x−2 2x6−2x 4−2x3 +5 = 2 + − x +3 x 2 +3 ( x 2 +3)2 f (x )= f (x )=( 3x 2+ 2)2 ( x 2 −5x)3 3 4 2 2 =36x +24x +(6x−15)(3x −13x −10x)

[

]

4

=

−6 4 (2x+1)

( x 2 +3)3 (5x−8)2 (x 2 +3)2 ( x 2 +3)3 =6x −10 (5x−8)2 (5x−8)3 f ( x )=

f (x )=5x−7−

5 x7

=0

f (x )=k +bt

=0