`y = 6^(3x-4)` Find the derivative of the function

`y=6^(3x-4)`

The derivative formula of an exponential function is:

`d/(dx) (a^u) = ln(a) * a^u * (du)/dx`

Applying this formula, the derivative of a function will be:

`(dy)/(dx) = d/(dx) (6^(3x-4))`

`(dy)/(dx) =ln(6) * 6^(3x-4) * d/(dx) (3x-4)`

`(dy)/(dx) = ln(6) * 6^(3x-4) * 3`

`(dy)/(dx) = 3ln(6) * 6^(3x-4)`

Therefore, the derivative of the function is  `(dy)/(dx) = 3ln(6) * 6^(3x-4)` .