Q. 1 B4.5( 6 Votes )

# Differentiate eac

We need to find derivative of f(x) = 1/√x

Derivative of a function f(x) from first principle is given by –

{where h is a very small positive number}

derivative of f(x) = 1/√x is given as –

Using algebra of limits –

Multiplying numerator and denominator by √x + √(x + h) to rationalise the expression so that we don’t get any indeterminate form after putting value of h

Using (a + b)(a – b) = a2 – b2

Using algebra of limits –

Hence,

Derivative of f(x) = 1/√x

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