hitung turunan pertama dari fungsi dinyatakan dengan f(x)=x-5/x+5

u(x) = x-5
u'(x) = 1
v(x) = x+5
v'(x) = 1

=u'(x) . v(x) - u(x) . v'(x)/(v(x))²
=x+5 - (x-5) / (x+5)²
=10/(x+5)²

f(x) = (x - 5)/(x + 5)
f(x) = u/v
u = x-5
u' = 1

v = x + 5
v' = 1

Rumus :
f'(x)
= ( u'v - uv') / (v^2)
=(1(x + 5) - (x-5)1) / ((x+5)^2)
= (x + 5 - x + 5)/ (x^2 + 10x + 25)
= 10 / (x^2 + 10x + 25)