Anyone knows what's right the command for the question:
y = 4x - √x + (1/^3√x^2)
The answer supposed to be:
4 - (1/2√x) - (2/3x^5/3)l
But my answer is: 4 - (1/2√x) - (2/3)(x/(x^2)^4/3)
I suppose my answer is right or the answer that given to me is wrong.)
Assuming your expression is $y=4x-\sqrt{x}+\frac{1}{x^\frac{2}{3}}$. Differentiating gives $y'=4-\frac{1}{2\sqrt{x}}-\frac{2}{3x^\frac{5}{3}}$. This is equivalent to your expression since $\frac{x}{(x^2)^\frac{4}{3}}=\frac{1}{x^{\frac{4}{3}-1}}=\frac{1}{x^\frac{5}{3}}$.
In Maple, this is diff(4*x-x^(1/2)+x^(-2/3),x)