___ 2*\/ x
2*sqrt(x)
The derivative of a constant times a function is the constant times the derivative of the function.
Apply the power rule: x\sqrt{x}x goes to 12x\frac{1}{2 \sqrt{x}}2x1
So, the result is: 1x\frac{1}{\sqrt{x}}x1
The answer is:
1 ----- ___ \/ x
-1 ------ 3/2 2*x
3 ------ 5/2 4*x