___ 4*\/ x
4*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: 2x\frac{2}{\sqrt{x}}x2
The answer is:
2 ----- ___ \/ x
-1 ---- 3/2 x
3 ------ 5/2 2*x