What is the derivative of the square root of 4x plus 25?

Answer 1

I believe you are asking:

What is the derivative (d/dx) of (4x+25)^0.5

If this is indeed the case, the derivative d((4x+25)^0.5)/dx = 0.5*(4x+25)^-0.5*4 =

2(4x+25)^-0.5

That is, 2 times the quantity (4x+25) to the negative 1/2 power.