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)

\int \frac{sin ^{3} ( x )}{1 - cos ( x )} d x

\int x - \frac{1}{x} d x

\int (e^{2 x} cos (e^{2 x})) d x

\frac{d}{d x} (\frac{1}{x ^{2}} + \frac{1}{x ^{3}})

x \frac{d y}{d x} - (1 + x) y = x y^{2}

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)