1. Turunan pertama fungsi f(x) = (5x – 3)3 adalah ...
A. f ′ (x)
= 3(5x – 3)2
B. f ′ (x)
= 5(5x – 3)2
C. f ′ (x)
= 8(5x – 3)2
D. f ′ (x)
= 15(5x – 3)2
E. f ′ (x)
= 45(5x – 3)2
Alternatif Pembahasan :
f(x)
= (5x – 3)3 = un
u
= 5x – 3 → u′ = 5
n
= 3
f ′
(x) = n · u′ · un – 1
= 3 · 5
· (5x – 3)3 – 1
= 15(5x – 3)2
Jawaban: D
2.
Turunan
pertama fungsi f(x) = (2x – 5)5 adalah ...
A. f ′ (x) = 5(2x
– 5)5
B. f ′ (x) = 10(2x – 5)5
C. f ′ (x) = 5(2x – 5)4
D. f ′ (x) = 10(2x – 5)4
E.
f ′ (x) = (2x – 5)4
Alternatif Pembahasan :
f(x)
= (2x – 5)5 = un
u
= 2x – 5 → u′ = 2
n
= 5
f ′
(x) = n · u′ · un – 1
= 5 · 2
· (2x – 5)5 – 1
= 10(5x – 3)4
Jawaban: D
Sumber
Labels:
Matematika
Thanks for reading Latihan Rumus–Rumus Turunan Fungsi. Please share...!
