Differentiate each of the following from first principles: (i) 2/x (ii) 1/√x

Answers:

(i)

f (x) = 2/x

∴ Derivative of f(x) = 2/x is -2x^-2

(ii) 

f (x) = 1/√x

∴ Derivative of f(x) = 1/√x is -1/2 x^-3/2