\lim _ { y \rightarrow ( 1,2 ) } \frac { \sqrt { y } - \sqrt { x + 1 } } { y - x - 1 }
Evaluate
\left\{\begin{matrix}\frac{-5\sqrt{x+1}+\sqrt{30}}{1-5x};&x\geq -1\text{ and }x\neq \frac{1}{5}\\\frac{\sqrt{30}}{12};&x=\frac{1}{5}\end{matrix}\right.
Differentiate w.r.t. x
\left\{\begin{matrix}\frac{5\left(-5x+2\sqrt{30\left(x+1\right)}-11\right)}{2\sqrt{x+1}\left(1-5x\right)^{2}};&x\geq -1\text{ and }x\neq \frac{1}{5}\\0;&\end{matrix}\right.
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