___ 3*\/ x
3*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: 32x\frac{3}{2 \sqrt{x}}2x3
The answer is:
3 ------- ___ 2*\/ x
-3 ------ 3/2 4*x
9 ------ 5/2 8*x