# Tutor profile: James G.

## Questions

### Subject: Calculus

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)

### Subject: US History

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

### Subject: Algebra

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

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