Question

use limit rule to find derivative of square root of x+2

Answer 1

\[f(x)= x+4\] ......(1)
\[f(x+h)=x+h+4=(x+4)+h=f(x)+h\] ......(from 1)
\[\frac{ dy }{ dx }= \lim_{h \rightarrow 0}\frac{ f(x+h) - f(x) }{ h } =\lim_{h \rightarrow 0}\frac{ f(x)+h- f(x) }{ h }=\lim_{h \rightarrow 0}\frac{ h }{ h }=1\]

Answer 2

I knows how to do it with polynomials but anything that is not polynomials confuses me especially when it has square root

Answer 3

For example???