Q. 1 O4.5( 2 Votes )

# Differentiate each of the following from first principles:

Answer :

We need to find derivative of f(x) =

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

f’(x) = {where h is a very small positive number}

∴ derivative of f(x) = is given as –

f’(x) =

⇒ f’(x) =

⇒ f’(x) =

⇒ f’(x) =

Using algebra of limits –

⇒ f’(x) =

⇒ f’(x) =

⇒ f’(x) =

⇒ f’(x) =

⇒ f’(x) =

∴ f’(x) =

Hence,

Derivative of f(x) =

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