What is the derivative of 4sin^2(x) ?

The derivative of 4sin^2(x) is 4sin(2x)

What is the first derivative of 4sin^2(x) ?

The first derivative of 4sin^2(x) is 4sin(2x)

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derivative of

4 sin^{2} (x)

4 sin (2 x)

Solution steps

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

Take the constant out:

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

= 4 \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)

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

Simplify

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

= 4 sin (2 x)

\int 28 arctan (x) d x

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

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

\frac{d}{d x} (x^{2} - 4 x y + 4 y^{2} + 2)

\int_{0}^{x} cos (2 t) d t

What is the derivative of 4sin^2(x) ?
The derivative of 4sin^2(x) is 4sin(2x)
What is the first derivative of 4sin^2(x) ?
The first derivative of 4sin^2(x) is 4sin(2x)