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

The derivative of y=sin^2(x) is sin(2x)

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

The first derivative of y=sin^2(x) is sin(2x)

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derivative of

y = sin^{2} (x)

sin (2 x)

Solution steps

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

Apply the chain rule:

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

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

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

= 2 sin (x) cos (x)

Use the Double Angle identity:

2 sin (x) cos (x) = sin (2 x)

= sin (2 x)

(- 3, 2), (0, 3)

y = 5 x + 3

y = - 4 x - 1

y = arccos (\frac{1}{x})

f (x) = sin (3 x)

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