SOLUTION: What is the derivative of y = square root of 3x ? a.dy/dx = square root of 3x/6x b.dy/dx = square root of 3x/2x c.dy/dx = 2 times the square root of 3x / 3x d.dy/dx

Algebra ->  Test -> SOLUTION: What is the derivative of y = square root of 3x ? a.dy/dx = square root of 3x/6x b.dy/dx = square root of 3x/2x c.dy/dx = 2 times the square root of 3x / 3x d.dy/dx      Log On


   

Question 405083: What is the derivative of y = square root of 3x ?
a.dy/dx = square root of 3x/6x
b.dy/dx = square root of 3x/2x
c.dy/dx = 2 times the square root of 3x / 3x
d.dy/dx = square root of 3x/2
What do you think is the closest to the answer ? I think maybe B . I honestly dont know?

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
If y+=+sqrt%283x%29+=+%283x%29%5E%281%2F2%29, then applying the chain rule,

dy%2Fdx+=+%281%2F2%29%283x%29%5E%28-1%2F2%29%283%29

dy%2Fdx+=+3%2F2sqrt%283x%29+=+%283sqrt%283x%29%29%2F%286x%29+=+sqrt%283x%29%2F%282x%29, so choice B is correct.