Answer:
96x+28
Step-by-step explanation:
Given function,
[tex]y=(6x+5)(8x-2)[/tex]
Differentiating with respect to x,
[tex]\frac{dy}{dx}=\frac{d}{dx}[(6x+5)(8x-2)][/tex]
By the product rule of derivatives,
[tex]\frac{dy}{dx}=\frac{d}{dx}(6x+5).(8x-2)+(6x+5).\frac{d}{dx}(8x-2)[/tex]
[tex]\frac{dy}{dx}=6(8x-2)+(6x+5)8[/tex]
[tex]\frac{dy}{dx}=48x-12+48x+40[/tex]
[tex]\frac{dy}{dx}=96x+28[/tex]
Hence, the derivative of the given function is 96x+28.
