bantu yaaaaaa ganemu 13 14

mohon dipahami ya,, jikalau sngt membantu jadikan jwban yg terbaik ya

13) Lim f(x)
x => 0

Lim (x - √x)/(x + √x)
x=>0

Lim √x(√x - 1)/(√x(√x + 1))
x=>0

Lim (√x - 1)/(√x + 1)
x=>0

= (√0 - 1)/(√0 + 1)

= -1/1

= -1

14) f(x) = (x^2 + 1)/√x
= (x^2 + 1).x^(-1/2)
= x^(3/2) + x^(-1/2)
f'(x) = 3/2 x^(1/2) + (-1/2) x^(-3/2)
= 3/2 √x - 1/(2x^(3/2))
= 3/2 √x - 1/(2x√x)
= 3/2 √x - 1/(2x√x) . √x/√x
= 3/2 √x - 1/(2x^2) . √x