Detail solution
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Let .
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Apply the power rule: goes to
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Then, apply the chain rule. Multiply by :
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The derivative of is .
The result of the chain rule is:
The answer is:
The first derivative
[src]
$$\frac{2 \log{\left(x \right)}}{x}$$
The second derivative
[src]
2*(1 - log(x))
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2
x
$$\frac{2 \left(1 - \log{\left(x \right)}\right)}{x^{2}}$$
The third derivative
[src]
2*(-3 + 2*log(x))
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3
x
$$\frac{2 \left(2 \log{\left(x \right)} - 3\right)}{x^{3}}$$