What is (\partial)/(\partial x)(4sin^2(x)) ?

The answer to (\partial)/(\partial x)(4sin^2(x)) is 4sin(2x)

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(\partial)/(\partial x)(4sin^2(x))

\frac{\partial}{\partial x} (4 sin^{2} (x))

4 sin (2 x)

Solution steps

\frac{\partial}{\partial x} (4 sin^{2} (x))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 4 \frac{\partial}{\partial x} (sin^{2} (x))

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)

= 4 \cdot 2 sin (x) cos (x)

Simplify

4 \cdot 2 sin (x) cos (x) : 4 sin (2 x)

= 4 sin (2 x)

f (x) = \frac{2}{x}

e^{π}

\frac{\partial}{\partial y} (4 x - 2 y)

\int 4 + \frac{1}{x} d x

\frac{d}{d x} (20 x - \frac{1}{2} \cdot 9.8 \cdot x^{2})

What is (\partial)/(\partial x)(4sin^2(x)) ?
The answer to (\partial)/(\partial x)(4sin^2(x)) is 4sin(2x)