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

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

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

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

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

sin (2 x)

Solution steps

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

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)

x \to 0 lim ((cos (x))^{c o t^{2} (x)})

ln (\frac{( 1 + x )}{( 1 - x )})

\frac{d}{d x} (- 3 e^{2 x})

\frac{1}{x ^{9}}

\int x (x^{2} - 3)^{4} d x

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