Quiz (+50): f(x) = (4x-1)¹²³⁴ f'(½) = ............

Quiz (+50):
f(x) = (4x-1)¹²³⁴
f'(½) = …………

Jawaban:

f(x) = (4x – 1)¹²³⁴

f’(x) = 1234(4x – 1)¹²³³ · (4x – 1)’

⇔ f’(x) = 1234(4x – 1)¹²³³ · 4

⇔ f’(x) = 4936(4x – 1)¹²³³

∴ f'(½) = 4936(2 – 1)¹²³³ = 4936

DIKETAHUI

f(x) = (4x – 1)¹²³⁴

DITANYA

f'(½) = ?

JAWAB

f(x) = (4x – 1)

f'(x) = $tt {1.234(4x - 1)}^{1.234 - 1}$

f'(x) = $tt {1.234(4x - 1)}^{1.233}$

f'(x) = $tt {4.936(4x - 1)}^{1.233}$

Maka,

f'(½) = $tt {4.936(4x - 1)}^{1.233}$

= $tt {4.936(4(½) - 1)}^{1.233}$

= $tt {4.936(2 - 1 )}^{1.233}$

= $tt {4.936(1)}^{1.233}$

= $tt 4.936 times 1$

= $tt 4.936$

Jadi, nilai dari f'(½) adalah 4.936