Question

find the difference quotient g(x+h) - g(x) / h
for g(x) =x second power

Answer 1

\[ g(x)=x^2\]
\[\frac{g(x+h)-g(x)}{h}\]
\[\frac{[(x+h)^2]-[x^2]}{h}\]
\[\frac{[x^2+2xh+^2]-[x^2]}{h}\]
\[\frac{2xh+h^2}{h}\]
\[2x+h\]

Answer 2

thats the answer mark

Answer 3

Thank you mark that seemed to make it easy

Answer 4

mark you still looking at it or is 2x+h the answer