What is the derivative of sin^2(y) ?

The derivative of sin^2(y) is 2sin(y)cos(y)

What is the first derivative of sin^2(y) ?

The first derivative of sin^2(y) is 2sin(y)cos(y)

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derivative of

sin^{2} (y)

2 sin (y) cos (y)

Solution steps

\frac{d}{d y} (sin^{2} (y))

Apply the chain rule:

2 sin (y) \frac{d}{d y} (sin (y))

= 2 sin (y) \frac{d}{d y} (sin (y))

\frac{d}{d y} (sin (y)) = cos (y)

= 2 sin (y) cos (y)

What is the derivative of sin^2(y) ?
The derivative of sin^2(y) is 2sin(y)cos(y)
What is the first derivative of sin^2(y) ?
The first derivative of sin^2(y) is 2sin(y)cos(y)