If y= 242 (4x+5)^2 find dy/dx when x=1? ?

To find dy/dx, we need to differentiate the given function with respect to x.

Given: y = 242(4x + 5)^2

Using the chain rule, we have:

dy/dx = 2 * 242 * (4x + 5) * 4
dy/dx = 1936(4x + 5)

Now, we can find dy/dx when x = 1:

dy/dx = 1936(4(1) + 5)
dy/dx = 1936(4 + 5)
dy/dx = 1936(9)
dy/dx = 17424

Therefore, dy/dx when x = 1 is 17424.