Tolong bantu jawabannya teman teman
Penjelasan dengan langkah-langkah:
a. f(x)= 12
f'(x)= 0
b. f(x)= x²+6x+5
f'(x)= 2x+6
c. f(x)= 2x(3x–2)⁵
u=2x, v = (3x–2)⁵
u'= 2 , v'= 5(3)(3x–2)⁴
f'(x)= u'v+uv'
= 2(3x–2)⁵+2x(15)(3x–2)⁴
= 2(3x–2)⁵+30x(3x–2)⁴
atau (3x–2)⁴(2+30x(3x–2))
= (3x–2)⁴(2+90x²–60x)
= (3x–2)⁴(90x²–60x+2)
d. f(x)= (x-3)(x+5)
f'(x)= uv'+u'v
u= (x-3)
u'= 1
v= (x+5)
v'= 1
maka f'(x)= (x-3)+(x+5)
= 2x+2 ✓
e. f(x)= (7x²+8)/2x+5
u= 7x²+8
u'= 14x
v= 2x+5
v'= 2
f'(x)= (uv'-u'v)/v²
= (7x²+8)(14x)–2(2x+5))
(2x+5)²
= (98x³+112x)–(4x-10))
(2x+5)²
= (98x³+108x+10)
(2x+5)²