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andre [41]
3 years ago
13

Find the derivative of respect to x.

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​
Mathematics
1 answer:
Keith_Richards [23]3 years ago
6 0

Answer:

Dx [sin3x] = 3cos3x

General Formulas and Concepts:

<u>Calculus</u>

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

Step-by-step explanation:

<u>Step 1: Define</u>

sin3x

<u>Step 2: Find derivative</u>

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