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]
$$\frac{7 x^{\frac{5}{2}}}{2}$$
The second derivative
[src]
$$\frac{35 x^{\frac{3}{2}}}{4}$$
The third derivative
[src]
$$\frac{105 \sqrt{x}}{8}$$