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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derivative of

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)

3^{3 - x}

x^{2} + 5 x - 3

(2 x^{2} - 7) 16 w

\frac{d}{d x} (i \cdot x \cdot 1 - 2 x)

4 x^{2} y + 1

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)