Question

1)
y = sqrt(x), x = 1, Δx = 1
Δy= ?
dy= ?

2)
y = ex, x = 0, Δx = 0.5
Δy= ?
dy= ?

Answer 1

If y = sqrt(x), then dy = dx/(2sqrt(x))

It's just the first derivative.

Answer 2

when x=1,y=1,when x=x+deltax=2,y=sqrt(2), so delta y=sqrt(2)-1=0.414 approx

Answer 3

for dy use the formula from tk

Answer 4

and do the same for part 2