Question

Вычеслите производную функции f(x)=x√x+1 в точках 0,3,x,x-1

Answer 1

f `(x) = (x)` * (x+1)^1/2 + x * ( 1 / (2(x+1)^1/2) ) =
 = (x+1)^1/2  + x  / (2(x+1)^1/2) )
f `(0) = 1 + 0 = 1
f `(3) = 2 + 3 / 4 = 3