What is the derivative of square root of x-5?

Answer 1

Use Cahin Rule

dy/dx = dy/du X du/dx

Hence

y = ( x-5)^(1/2)

Let x - 5 = u

Hence

dy/du = (1/2)u^(-1/2)

du/dx = 1

Combining

dy/dx = (1/2)(x-5)^(-1/2)) X 1

dy/dx = 1/ [2(x-5)^(1/2)]

Done!!!!

Answer 2

Use the formula for the derivative of a power. The square root of (x-5) is the same as (x-5)1/2.