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Evaluate
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Differentiate w.r.t. x
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\frac{\sin(x)\cot(x)}{\cos(x)e^{x}}
Factor the expressions that are not already factored.
\frac{1}{e^{x}}
Cancel out \cos(x) in both numerator and denominator.
e^{x\left(-1\right)}
To raise a power to another power, multiply the exponents.
e^{-x}
Multiply x times -1.