zadaci
zadaci
zadaci
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(i) y = sin(sin t)<br />
Rj: y ′ = cos(sin t) · cos t<br />
(j) y = e 2x+3 (x 2 − x + 1 2 )<br />
Rj: y ′ = 2x 2 e 2x+3<br />
(k) y = log 3 (x 2 − sin x)<br />
Rj: y ′ =<br />
2x − cos x<br />
(x 2 − sin x) ln 3<br />
(l) y = arcsin √ sin x<br />
Rj: y ′ =<br />
cos x<br />
2 √ sin x − sin 2 x<br />
(m) y = 1 4 ln 1 + x<br />
1 − x − 1 2 arctgx<br />
x2<br />
Rj: y ′ =<br />
1 − x 4<br />
(n) y = √ 1<br />
√<br />
3x<br />
arctg 3 1 − x 2<br />
Rj: y ′ =<br />
1 + x2<br />
1 + x 2 + x 4<br />
(o) y = arccos √ 1 − 3x<br />
Rj: y ′ 3<br />
=<br />
2 √ 3x − 9x 2