Question

please help me in solving this problem​

Answer 1

Given,

$y=(2x-6)^5$

Now,

Differentiating on both sides with respect to x, we get.

$\frac{dy}{dx} = \frac{d}{dx} {{}{(2x - 6)}}^{5 } \\ = > \: \: \frac{dy}{dx} = 5{(2x - 6)}^{4} \frac{dy}{dx} (2x - 5) \\ = > \: \: \frac{dy}{dx} = 5 {(2x - 6)}^{4} \times (2 - 0) \\ = > \: \: \frac{dy}{dx} = 10 {(2x - 6)}^{4}$

$Here's /: your /: answer /: dude.$