Question

y= x+1/x-1 - найти производную

Answer 1

у' = ((x+1)'*(x-1) - (x-1)'*(x+1))/(x-1)² 
y'=(1*(x-1)-1(x+1))/(x-1)²
y'=(x-1-x-1)/(x-1)²
y'=-2/(x-1)²

Answer 2

(U/V)'=(U'V-UV')/V^2 ?

Answer 3

d/dx[f(x)/g(x)] = g(x)d/dx[f(x)]-f(x)d/dx[g(x)] / g(x)^2

f(x) = x+1
g(x) = x-1

(x-1)d/dx[x+1]

-(x+1)[x-1]/ (x-1)^2

x-1-(x+1) / (x-1)^2

Answer 4

- 2/(x-1)^2

Answer 5

Я вот так сделал