Question

Differentiate the following from first principles

tan 2x

Answer 1

We need to find derivative of f(x) = tan (2x)

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

{where h is a very small positive number}

∴ derivative of f(x) = tan (2x) is given as –

To apply sandwich theorem ,we need 2h in denominator, So multiplying by 2 in numerator and denominator by 2.