Differentiate the following functions with respect to x :

$3^{x} + x^{3} + 3^{3}$

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Solution

We have to differentiate f(x) with respect to x

$\frac{d}{d x} (3^{x} + x^{3} + 3^{3})$

$= \frac{d}{d x} (3^{x}) + \frac{d}{d x} (x^{3}) + \frac{d}{d x} (3^{3})$

$= 3^{x} l o g 3 + 3 x^{2} + 0 [∵ \frac{d^{a^{x}}}{d x} = a^{x} l o g a]$

$= 3^{x} l o g 3 + 3 x^{2}$

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