Differentiate y = (3x + 1)^2

We would need to use the chain rule to solve this problem. The outer layer is the square root function while the inner layer is (3x +1). First we have to differentiate the (3x + 1) ^2 part first and leave the inner layer unchanged for the moment. Then after this step is complete we can start to differentiate the (3x + 1) part. D(3x + 1)^2 = 2(3x + 1)^2-1 D(3x+1) 2(3x+1)(3) 6(3x+1) 18x+6 (this is the answer after all the differentiation has been done)

How many branches of government are there?

There is three branches of government and they would be the legislative branch, judicial branch, and lastly the executive branch

Find the slope of the line perpendicular to the line y = (1/3)x - 7

Two lines are perpendicular to one another if the product of their slopes is equal to -1. In the equation above m or the slope is equal to 1/3. If m which equals 1/3 is the slope of the line that is perpendicular to the given line we need to solve for m. m × (1/3) = -1 Thus m equals = -3