Respuesta :

Space

Answer:

Dx [sin3x] = 3cos3x

General Formulas and Concepts:

Calculus

  • Chain Rule: [tex]\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
  • Derivative of trig functions
  • Basic Power Rule:  f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

sin3x

Step 2: Find derivative

  1. Apply operative:                    Dx [sin3x]
  2. Chain Rule:                             cos3x · 3
  3. Simplify:                                  3cos3x

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