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Soal/Latihan Turunan Pertemuan ke-15
Soal Jawab : 1. f(x) = -x - x² + 5 f(x) = -2 x² -1 f’ (0) = -2 (0) – 1 = -1 f’ (8) = -2 (8) – 1 = -17 2. g(x) = (x - 1)² + 5 g’(x) = 2x – 2 g’ (1) = 2 (1) – 2 = 0 g’ (1) = 2 (1) = 2 3. g (t) = 1 / t ² = t ˉ ² g’'(t) = - 2 t ˉ ² t’ (0) = -2 x 0 ² = 0 t’ (1) = -2 x 1 ² = -2 t’’ (1) = 6 x 1⁴ = 6 4. y' = 8x - sinx y' = 8x - cosx 5. r (s) = √8s+ 1 r’(s) = 8/ 2 √8s+ 1 r’’ (s) = - 1 / √8s + 1 (8s + 1) r’ (0) = 8/ 2 √ 8 x 0 + 1 = 4 r’ (1) = 8/ 2 √ 8 x 1 + 1 = 12 r’’ (2) = -1 / √8 x 2 + 1 (8 x 2 + 1) = -√33/33
