What is (\partial)/(\partial x)((sin(x))^2) ?

The answer to (\partial)/(\partial x)((sin(x))^2) is sin(2x)

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(\partial)/(\partial x)((sin(x))^2)

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

sin (2 x)

Solution steps

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

Apply the chain rule:

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

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

\frac{\partial}{\partial 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)

\int_{- 1}^{1} (x - x^{3}) d x

\frac{\partial}{\partial x} (t e^{\frac{- x ^{2}}{2 t}})

x \to 0 lim (e^{8 π})

\frac{\partial}{\partial z} (2 x + z^{2})

x \to 0 lim ((x + h)^{2} - 1)

What is (\partial)/(\partial x)((sin(x))^2) ?
The answer to (\partial)/(\partial x)((sin(x))^2) is sin(2x)