Question

find the derivation of √1+xsquare by 1st principle​

Answer 1

Step-by-step explanation:

lim (h→0) {√1+x+h-√1+x/h}

by rationalising numerator

we get,

lim (h→0) { 1+x+h-(1+x)}/h {√1+x+h+√1+x}

lim (h→0) h/h{√1+x+h+√1+x}

lim (h→0) 1/√1+x+h+√1+x

substitute h=0

lim (h→0) 1/√1+x+h+√1+x

1/√1+x+0+√1+x

1/2(√1+x)

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