RIJEÃ…Â ENI ZADACI IZ MATEMATIKE
RIJEÃ…Â ENI ZADACI IZ MATEMATIKE
RIJEÃ…Â ENI ZADACI IZ MATEMATIKE
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20. Odredite jednadžbe tangente i normale na graf funkcije f(x) = 84+x 2 u točkis apscisom 2.Rješenje:t . . . y − f(x 0 ) = f ′ (x 0 )(x − x 0 ), T (x 0 , f(x 0 ))n . . . y − f(x 0 ) =−1f ′ (x 0 ) (x − x 0), T (x 0 , f(x 0 ))T (x 0 , f(x 0 ))T (2, f(2)) = T (2, 1)f(2) = 84 + x = 82 4 + 4 = 1f ′ 8= ( = −16x4 + x 2)′ (4 + x 2 ) 2f ′ (2) = −16 · 2(4 + 4) = −12 2t . . . y − 1 = −1 (x − 2)2y − 1 = −12 x + 1y = −12 x + 2n . . . y = 2x + 218
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