Find the derivative of y=(6x+4)⁴?

To find the derivative of y = (6x + 4)⁴, we can use the chain rule.

Let u = 6x + 4. Then y = u⁴.

Now, we can find the derivative of y with respect to x by using the chain rule:

dy/dx = dy/du * du/dx

To find dy/du, we can use the power rule for differentiation:

dy/du = 4u³

To find du/dx, we can differentiate u = 6x + 4 with respect to x:

du/dx = 6

Now, we can substitute these values back into the chain rule equation:

dy/dx = (4u³) * 6

Simplifying further:

dy/dx = 24u³

Finally, substituting u = 6x + 4 back into the equation:

dy/dx = 24(6x + 4)³

Therefore, the derivative of y = (6x + 4)⁴ is 24(6x + 4)³.