Detail solution
-
Apply the product rule:
; to find :
-
Apply the power rule: goes to
; to find :
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The derivative of is .
The result is:
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Now simplify:
The answer is:
The first derivative
[src]
$$2 x \log{\left(x \right)} + x$$
The second derivative
[src]
$$2 \log{\left(x \right)} + 3$$
The third derivative
[src]
$$\frac{2}{x}$$