Question

joe math HELP!!!!!!!!!
by using the first principle of differentiation
differentiate y=sqrt(x+1)
show all steps

Answer 1

HAHA-SHER!

Answer 2

\[y = \sqrt{x+1} = (x+1)^{1/2}\]
\[dy/dx = (1/2)(x+1)^{(1/2-1)} = (1/2)(x+1)^{-1/2}\]
\[dy/dx = \frac{1}{2\sqrt{x+1}}\]

Answer 3

I believe he wants the derivative using

\[\lim_{h\to 0}\frac{f(x+h)-f(x)}{h}\]

Answer 4

@dumbcrow use first principle of differentiation