Question

Differentiate the function w.r.t.x:
$\rm 3^{x} + x^{3} + 3^{3}$

Answer 1

HOPE IT HELPS U ✌️✌️

Answer 2

To find the differentiation of given function,first we have to know the derivatives of respective functions

$\frac{d( {a}^{x} )}{dx} = {a}^{x} log \: a\\ \\ \frac{d( {x}^{n} )}{dx} = n {x}^{n - 1} \\ \\ \frac{d(a)}{dx} = 0$
So

$\frac{d}{dx} (3^{x} + x^{3} + 3^{3}) \\ \\ = \frac{d(3^{x})}{dx} + \frac{d(x^{3})}{dx} + \frac{d(3^{3})}{dx} \\ \\ = {3}^{x} log \: 3 \: + 3 {x}^{2} + 0 \\ \\ \frac{d}{dx} (3^{x} + x^{3} + 3^{3})= 3 {x}^{2} + {3}^{x} log \:3$
Hope it helps you.