Hi nobody as of yet has given the right answer for this, and I am really stuck on the problem. I am giving the link because I don't want to mess up the syntax. It is problem C22
http://www.baruch.cuny.edu/sacc/documents/MTH2205_FinalExamv8.pdf
The answer was 6x (delta x) + 3(delta x)^2 + 2 (delta x)
http://www.baruch.cuny.edu/sacc/documents/MTH2205_FinalExamv8.pdf
The answer was 6x (delta x) + 3(delta x)^2 + 2 (delta x)
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y=f(x)
y + .Δy = f(x+Δx)
y -y + Δy = f(x+Δx) -f(x)
Δy= F(x+Δx) -F(x)
Δy= (3(x+Δx)^2 + 2(x+Δx)) - (3x^2 + 2x)
Δy= (3(x^2+2xΔx + Δx^2) + 2(x+Δx)) - 3x^2 - 2x --
Δy= 3x^2+6xΔx + 3Δx^2 + 2x+2Δx - 3x^2 - 2x --combine the like terms.
Δy = 6xΔx + 3Δx^2 + 2Δx
There you go. I had no idea what to do when I started. This was a fun problem
y + .Δy = f(x+Δx)
y -y + Δy = f(x+Δx) -f(x)
Δy= F(x+Δx) -F(x)
Δy= (3(x+Δx)^2 + 2(x+Δx)) - (3x^2 + 2x)
Δy= (3(x^2+2xΔx + Δx^2) + 2(x+Δx)) - 3x^2 - 2x --
Δy= 3x^2+6xΔx + 3Δx^2 + 2x+2Δx - 3x^2 - 2x --combine the like terms.
Δy = 6xΔx + 3Δx^2 + 2Δx
There you go. I had no idea what to do when I started. This was a fun problem