Matematika tentukan turunan pertama g(x) = 1/(2x+1)​

odellrobertsulv – March 31, 2023

tentukan turunan pertama g(x) = 1/(2x+1)​

Jawaban:

- Turunan

➡ g(x) = 1

(2x + 1)²

➡ g(x) = (2x + 1)-²

➡ g(x) = –2(2x + 1)-2-1

1

➡ g(x) = –2(2x + 1)-³ ➡ – ————

(2x + 1)³

1 1

: g(x) = ———— ➡ g(x) = – ————

(2x + 1)² (2x + 1)³

[tex]g(x) = \frac{1}{2x + 1}[/tex]

g'(x) = [tex]-1*(2x + 1)^{-1 - 1}[/tex]

g'(x) = [tex](-2x - 1)^{-2}[/tex]

g'(x) = [tex]\bf -\frac{1}{(2x - 1)^2}[/tex]

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