Compute delta(y) and dy for the given values of x and dx=delta(x)
y=x^2 , x=8 , delta(x)=0.5
Delta(y)= ???
dy = ???
I got dy=8 by doing:
dy= (f prime of x)dx
dy=2xdx
dy=2xdelta(x)
dy=2*8*0.5
dy=8
but I have not clue how to find delta(y) please help!
deltay = y(x+deltax)- y(x)
= (8.5)^2 - (8)^2
= (8 + 1/2)^2 - 8^2
= 8^2 + 8 + 1/4 - 8^2= 8.25
check my work.
thanks!