Q. 2 B4.5( 2 Votes )

# Differentiate the

We need to find derivative of f(x) = e3x

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

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

derivative of f(x) = e3x is given as –

f’(x) = f’(x) = f’(x) = Taking e – x common, we have –

f’(x) = Using algebra of limits –

f’(x) = As one of the limits can’t be evaluated by directly putting the value of h as it will take 0/0 form.

So we need to take steps to find its value.

f’(x) = Use the formula: f’(x) = e3x × (3)

f’(x) = 3e3x

Hence,

Derivative of f(x) = e3x = 3e3x

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