Yang bisa tolong saya

Yang bisa tolong saya

Penjelasan dengan langkah-langkah:

$f(x) = (5 {x}^{2} + 3x)(4 {x}^{2} + 7x) \ = 20 {x}^{4} + 35 {x}^{3} + 12 {x}^{3} + 21 {x}^{2} \ = 20 {x}^{4} + 47 {x}^{3} + 21 {x}^{2} \ f'(x) = 20(4) {x}^{3} + 47(3) {x}^{2} + 21(2)x \ = 80 {x}^{3} + 141 {x}^{2} + 42x \ = x(80 {x}^{2} + 141x + 42)$

$f(x) = {x}^{2} sqrt{x} \ = {x}^{2} . {x}^{ frac{1}{2} } \ = {x}^{( frac{2}{2} + frac{1}{2}) } \ = {x}^{ frac{3}{2} } \ f'(x)= frac{3}{2} {x}^{( frac{3}{2} - frac{2}{2} ) } \ = frac{3}{2} {x}^{ frac{1}{2} } \ = frac{3}{2 }sqrt{x}$

u = 3x+5

u' = 3

v=x-5

v' = 1

$f'(x) = frac{uv - u'v-uv'}{ {v}^{2} }$

$= frac{3(x - 5) - (3x + 5)(1)}{( {x - 5)}^{2} } \ = frac{3x + 15 - 3x - 5}{( { x - 5)}^{2} } \ = frac{10}{( {x - 5)}^{2} }$