tentukan turunan fungsi aljabar dari soal berikut!
Jawab:
turunan
i. y = axⁿ , turunan y' = an xⁿ⁻¹
ii. y = uv , turunan y' = u'v +uv'
iii. y = u/v , turunan y' = (u'v -uv')/v2
iv. y = { f(x)}ⁿ , turunan y' = n fⁿ⁻¹(x) . f'(x)
____
1. f(x) = x² + x
f'(x) = 2x + 1
2. f(x)= (4x² +8)(2x+5)
f'(x) = 8x(2x+5) + 2(4x²+8)
f'(x) = 16x² + 40x + 8x²+ 16
f'(x) = 24 x² + 40x + 16
3. f(x) = (2x - 1)/(x +3)
[tex]\sf f'(x) = \dfrac{2(3) -1(-1)}{(x+3)^2} = \dfrac{6 +1}{(x+3)^2}[/tex]
[tex]\sf f'(x) = \dfrac{7}{(x+3)^2}[/tex]
4. f(x) = (x - 3)²
f'(x) = 2(x - 3)(1)
f'(x) = 2( x- 3)
