Detail solution
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Differentiate term by term:
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The derivative of is itself.
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The derivative of sine is cosine:
The result is:
The answer is:
The first derivative
[src]
$$e^{x} + \cos{\left(x \right)}$$
The second derivative
[src]
$$e^{x} - \sin{\left(x \right)}$$
The third derivative
[src]
$$e^{x} - \cos{\left(x \right)}$$