Detail solution
-
Apply the product rule:
; to find :
-
Apply the power rule: goes to
; to find :
-
Apply the power rule: goes to
The result is:
The answer is:
The first derivative
[src]
$$\frac{5 x^{\frac{3}{2}}}{2}$$
The second derivative
[src]
$$\frac{15 \sqrt{x}}{4}$$
The third derivative
[src]
$$\frac{15}{8 \sqrt{x}}$$