Hello I trying to do a problem on partial derivative. I know the partial derivative of 3x+2y with respect to x would be 3 and with respect to y would be 2. But wut if it is squarroot of 3x+2y, wut is the partial derivative of it with respect to x and y

Answer 1

For d/dx(partial)of (3x + 2y)^1/2, just treat y as a constant and use the usual rules. In this case, use the chain rule and let u = 3x + 2y
df/dx = df/du*du/dx
d/dx(partial)of (3x + 2y)^1/2
=(1/2)(3x + 2y)^-1/2 * 3
= (3/2)(3x + 2y)^-1/2

Answer 2

k tnx for ur help

Answer 3

-5(3x+2)