Derivative of \( \displaystyle e^{16 x^{2}} \)

Problem 2.519 · hard

1. \[ \frac{d}{d x} e^{16 x^{2}} \]
   derivativeStart with the derivative of the function.✓ Proved
2. \[ = e^{16 x^{2}} \frac{d}{d x} 16 x^{2} \]
   chainApply the chain rule.✓ Proved
3. \[ = 16 e^{16 x^{2}} \frac{d}{d x} x^{2} \]
   constant-multiplePull out the constant factor.✓ Proved
4. \[ = 32 x e^{16 x^{2}} \]
   power simplifyDifferentiate the power function. Multiply the terms to get the final result.✓ Proved