How do you find the derivative of y=√x using the definition of derivative?

Question

Mathematics

Saniya Blair

15 July, 19:23

How do you find the derivative of y=√x using the definition of derivative?

+2

Answers (1)

Know the Answer?

Barnes · Answer 1

Lim (√ (x+h) - √x) / h)) * (√ (x+h) + √x)) / (√ (x+h) + √x)) rationaize = (x+h-x) / (h * (√ (x+h) + √x)) = 1 / (√ (x+h) + √x)) replacing h=0 from the lim you get = 1 / (√x+√x) = 1 / (2√x)