Question

find the derivative of f(x)=2x^2+3x+5 using the limit definition of dervatives

Answer 1

\[\lim_{h \rightarrow 0} \frac{2(x+h)^2+3(x+h)+5 -(2x^2+3x+5) }{ h }\]

Answer 2

expand 2(x+h)^2 and 3(x+h)
combine like terms and simplify

Answer 3

which would be h^2 +2xh + 3h ?

Answer 4

what is the derivative???