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Exercícios propostos – 5<br />
1) f n (x) (1) n n!<br />
, n • .<br />
n1<br />
x<br />
2) f n (x) a x (ln a) n , n .<br />
3) f ''(x) 24x 2 18x 8 .<br />
4) f ''(x) 9x 4 cos x 3 26xsen<br />
x 3 2.<br />
5) f ''(x) 1<br />
3<br />
x<br />
2<br />
Exercícios propostos – 6<br />
1) df 3<br />
4 .<br />
2) dy 0 .<br />
3) df 0,1.<br />
3 2 <br />
4<br />
x 5<br />
2 .<br />
4) dy 0,0700 y = – 0,070.<br />
Exercícios propostos – 7<br />
1) a)C '(x) 800 x<br />
;<br />
20<br />
b) 750; c) 4.000.<br />
2) 2.020 e 8.520.<br />
3) CM 45.<br />
4) R'(250) 0 .<br />
5) a) R'(x) 700 3x2<br />
; b) 670.<br />
40<br />
6) 1.300.<br />
7) a) P'(x) 50<br />
2x 5 ; b) 75,33.<br />
x<br />
Módulo 2<br />
251
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