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

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

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

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

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

2 sin (2 x)

Solution steps

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

Take the constant out:

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

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

Simplify

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

= 2 sin (2 x)

\int \frac{x ^{3 k}}{k !} d x

x \to \frac{1}{5} lim (2 + ∣ 5 x - 1 ∣)

\int 2 e^{y} d y

(5 x^{2} - x + 11)^{\frac{3}{2}}

4 y^{^{''}} - 4 y^{^{'}} + y = 16 e^{\frac{t}{2}}

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