The derivatives of (x<sup>3</sup> + e<sup>x</sup> + 3<sup>x</sup> + cot x) with respect to x is
Concept: \[ \frac{d}{dx} (a^x) = a^x \ln a \] \[ \frac{d}{dx} (\cot x) = -\csc^2 x \] --- Calculation: \[ \frac{d}{dx} \left( x^3 + e^x + 3^x + \cot x \right) \] Applying differentiation: \[ = 3x^2 + e^x + 3^x \ln 3 - \csc^2 x \] --- Conclusion: Hence, option (1) is correct.
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