Tugas fungsi turunan aljabar

Tugas fungsi turunan aljabar

Jawab:

1.) f'(x) = 4 (4x+3)

= 16x + 12

2.) f'(x) = 2 (2x+3)

= 4x + 6

3) u = 2x+5 –> u' = 2

v = x+2 –> v' = 1

f'(x) = u' v + v' u

= 2 (x+2) + 1 (2x+5)

= 2x+4 + 2x + 5

= 4x + 9

$4) f'(x) =4.frac{1}{2}x^{-frac{1}{2} }=2x^{-frac{1}{2} }=frac{2}{x^{frac{1}{2} } }$

5) usaha seperti contoh diatas

Penjelasan dengan langkah-langkah:

Turunan Fungsi Aljabar

1.) $f(x)=4(2x^2+3x)$

f'(x) = 4(4x + 3)

f'(x) = 16x + 12

2.) $f(x) = 2(x^2+3x+10)$

f'(x) = 2(2x + 3)

f'(x) = 4x + 6

3.) $f(x) = (2x+5)(x+2)$

f'(x) = $2x^2 + 4x + 5x + 10$

f'(x) = 4x + 9

4.) $f(x) = 4x^frac{1}{2}$

f'(x) = $2x^-^frac{1}{2}$

5.) $f(x) = 8x^frac{3}{2}$

f'(x) = $12x^frac{1}{2}$