Nomor 17 dn 18 tolong ya kak bang Serta jalanya...

Bab Differensial
Matematika SMA Kelas XI

17] f(x) = (5x²) . (2x + 1/x)
f'(x) = u' v + u . v'
f'(x) = 10x (2x + 1/x) + 5x² . (2 - 1/x²)
f'(1) = 10 . 1 (2 . 1 + 1/1) + 5 . 1² . (2 - 1/1²)
f'(1) = 30 + 5
f'(1) = 35

jawabannya E

18] f(x) = 20 . x^(7/2) + 2 . x^(5/2) + 10x
f'(x) = 20 . (7/2) . x^(7/2 - 2/2) + 2 . (5/2) . x^(5/2 - 2/2) + 10
f''(x) = 70 . (5/2) . x^(5/2 - 2/2) + 5 . (3/2) . x^(3/2 - 2/2)
f''(4) = 175 . 4^(3/2) + 15/2 . 4^(1/2)
f''(4) = 175 . 8 + 15
f''(4) = 1.400 + 15
f''(4) = 1.415

jawabannya C

Matematika XI SMA
→→ Differensial ←←

Pembahasan :
Penurunannya terlampir...

17|| Opsi E.

f'(x) = 30x² + 5
f'(1) = 30(1)² + 5
f'(1) = 30 + 5
f'(1) = 35

18|| Opsi C.

f'(x) = 70x²√x + 5x√x + 10
f"(x) = 175x√x + (15√x)/2
f"(4) = 175(4)√4 + (15√4)/2
f"(4) = 175(4)(2) + (15.2)/2
f"(4) = 1400 + 15
f"(4) = 1415