Soal/Latihan Turunan Pertemuan ke-15

 Soal

Jawab : 

1.

f(x) = -x - x² + 5
f(x) = -2x² -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 / t² = t ˉ²
g’'(t) = - 2 t ˉ²

 t’ (0) = -2 x 0²
= 0

t’ (1) = -2 x 1²
= -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