Question

Find the derivative of respect to x.

`sin3x`
​

Answer 1

Dx [sin3x] = 3cos3x

General Formulas and Concepts:

Calculus

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

Explanation:

Step 1: Define

sin3x

Step 2: Find derivative

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