Derivative of \( \displaystyle x^{2} + e^{x} + 4 \)

Problem 2.165 · hard

1. \[ \frac{d}{d x} \left(x^{2} + e^{x} + 4\right) \]
   derivativeStart with the derivative of the function.✓ Proved
2. \[ = \frac{d}{d x} 4 + \frac{d}{d x} x^{2} + \frac{d}{d x} e^{x} \]
   sumApply the sum rule.✓ Proved
3. \[ = 2 x + \frac{d}{d x} 4 + \frac{d}{d x} e^{x} \]
   powerDifferentiate the power term.✓ Proved
4. \[ = 2 x + e^{x} + \frac{d}{d x} 4 \]
   exponentialDifferentiate the exponential term.✓ Proved
5. \[ = 2 x + e^{x} \]
   constant simplifyDifferentiate the constant term. Simplify the final expression.✓ Proved