Detail solution
-
Let .
-
Apply the power rule: goes to
-
Then, apply the chain rule. Multiply by :
-
Apply the power rule: goes to
The result of the chain rule is:
The answer is:
The first derivative
[src]
$$- \frac{2}{3 x^{\frac{2}{3}} x}$$
The second derivative
[src]
$$\frac{10}{9 x^{\frac{8}{3}}}$$
The third derivative
[src]
$$- \frac{80}{27 x^{\frac{11}{3}}}$$