Derivative of f(x) = -3 x^5 sqrt[x] + 4/(x^2 sqrt[x])

[Lixxie]

Im so confused...need help.

The problem is attached as a file. Plz help me.

[attachment=0:34r7glx5]lixxie.JPG[/attachment:34r7glx5]

 

[o_O]

Re: Derivative Help!

What have you tried? I would express the variables with exponents, simplify, and take the derivative from there:

$\displaystyle f(x) = -3x^{5} \sqrt{x} + \frac{4}{x^{2} \sqrt{x}}$

\(\displaystyle f(x) = -3x^{5}x^{\frac{1}{2}} + 4x^{-2}{x^{-\frac{1}{2}}\)

$\displaystyle f(x) = -3x^{\left(5 + \frac{1}{2}\right)} + 4x^{\left(-2-\frac{1}{2}\right)}$

etc.