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 sine is cosine:
The result of the chain rule is:
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Now simplify:
The answer is:
The first derivative
[src]
$$2 \sin{\left(x \right)} \cos{\left(x \right)}$$
The second derivative
[src]
/ 2 2 \
2*\cos (x) - sin (x)/
$$2 \left(- \sin^{2}{\left(x \right)} + \cos^{2}{\left(x \right)}\right)$$
The third derivative
[src]
$$- 8 \sin{\left(x \right)} \cos{\left(x \right)}$$