Question

for f(x)=5x^2, find (f(x+h)-f(x))/h

Answer 1

go slow
first off \(f(x+h)=5(x+h)^2=5(x^2+2xh+h^2)=5x^2+10xh+5h^2\)

Answer 2

then subtract \(f(x)=5x^2\) leaving you just with
\[10xh+5h^2\]

Answer 3

finally divide each term by \(h\) and you are done

Answer 4

would the answer be 10x+5h?

Answer 5

?

Answer 6

....

Answer 7

yes