3 x -- x
x^3/x
Apply the quotient rule, which is:
f(x)=x3f{\left(x \right)} = x^{3}f(x)=x3 and g(x)=xg{\left(x \right)} = xg(x)=x.
To find ddxf(x)\frac{d}{d x} f{\left(x \right)}dxdf(x):
Apply the power rule: x3x^{3}x3 goes to 3x23 x^{2}3x2
To find ddxg(x)\frac{d}{d x} g{\left(x \right)}dxdg(x):
Apply the power rule: xxx goes to 111
Now plug in to the quotient rule:
2x2 x2x
The answer is:
2*x
2
0