What is the derivative of sin^2(3x+2) ?

The derivative of sin^2(3x+2) is 6sin(3x+2)cos(3x+2)

What is the first derivative of sin^2(3x+2) ?

The first derivative of sin^2(3x+2) is 6sin(3x+2)cos(3x+2)

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\frac{d}{d x} (sin^{2} (3 x + 2))

6 sin (3 x + 2) cos (3 x + 2)

Solution steps

\frac{d}{d x} (sin^{2} (3 x + 2))

Apply the chain rule:

2 sin (3 x + 2) \frac{d}{d x} (sin (3 x + 2))

= 2 sin (3 x + 2) \frac{d}{d x} (sin (3 x + 2))

\frac{d}{d x} (sin (3 x + 2)) = cos (3 x + 2) \cdot 3

= 2 sin (3 x + 2) cos (3 x + 2) \cdot 3

Simplify

= 6 sin (3 x + 2) cos (3 x + 2)

What is the derivative of sin^2(3x+2) ?
The derivative of sin^2(3x+2) is 6sin(3x+2)cos(3x+2)
What is the first derivative of sin^2(3x+2) ?
The first derivative of sin^2(3x+2) is 6sin(3x+2)cos(3x+2)