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

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

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

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

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derivative of

4 sin (x) sin (x)

4 sin (2 x)

Solution steps

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

Simplify

4 sin (x) sin (x) : 4 sin^{2} (x)

= \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)

\frac{s + 5}{s ^{2} + 5 s + 9}

y^{^{''}} + 4 y = t^{2} + 3 e^{t}, y (0) = 0, y^{^{'}} (0) = 2

\int y^{3} d y

y = (\frac{( x - 1 )}{( x + 1 )})^{2}, at x = 0

2 \frac{d y}{d x} + 10 y = 1

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