Find the derivative of f(x)=(√x)/2x^2-1 (use the definition of derivative)?

Question

f(x)=(√x)/2x²-1

Answer 1

Before using the definition of derivative it is convenient to convert each term

to a single occurrence of a power of x.

f(x) = x^-3/2 / 2 - 1

f'(x) = -3/4 x^-5/2