Detail solution
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Differentiate term by term:
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Apply the power rule: goes to
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The derivative of cosine is negative sine:
The result is:
The answer is:
The first derivative
[src]
$$1 - \sin{\left(x \right)}$$
The second derivative
[src]
$$- \cos{\left(x \right)}$$
The third derivative
[src]
$$\sin{\left(x \right)}$$