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

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

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

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

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derivative of

2 sin^{2} (x)

2 sin (2 x)

Solution steps

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

Take the constant out:

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

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

Simplify

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

= 2 sin (2 x)

f (y) = \frac{1}{2 y}

\frac{d}{d x} (9 arctan (x - 1 + x^{2}))

\int x^{4} + x + 9 d x

\int_{0}^{1} \frac{x}{e ^{7 x}} d x

cos (arctan (2 x))

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