Question

Find the derivatives w.r.t.x:
$\rm x^{7} + 7^{x} + 7^{7}$

Answer 1

HOPE IT HELPS U ✌️✌️✌️

Answer 2

We know that,differentiation of

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

$\frac{d}{dx}( \rm x^{7} + 7^{x} + 7^{7}) \\ \\ = > \frac{d( {x}^{7}) }{dx} + \frac{d( {7}^{x}) }{dx} + \frac{d( {7}^{7}) }{dx} \\ \\ = 7 {x}^{6} + {7}^{x} log(7) + 0 \\ \\ \frac{d}{dx}( \rm x^{7} + 7^{x} + 7^{7})= 7 {x}^{6} + {7}^{x} log(7)$
Hope it helps you.