Question

Derivative of y=4sin^2 3x

Answer 1

• dy/dx = d ( 4 sin²3x) / dx

• dy/dx = 4 d( sin²3x ) / dx

• dy/dx = 4 d( sin²3x ) / d(sin 3x) × d(sin 3x)/dx

[ Chain Rule ]

• dy/dx = 4 × 2 sin 3x × d ( sin 3x ) / d ( 3x ) × d( 3x ) / dx

[ Chain Rule ]

• dy/dx = 8 sin 3x × cos 3x × 3 = 24 sin3x cos3x

• Formulas used ,

1) d ( x^n ) / dx = n • x^(n-1)