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

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

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

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

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derivative of

4 sin (x) cos (x)

4 cos (2 x)

Solution steps

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

Simplify

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

= \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:

cos (2 x) \frac{d}{d x} (2 x)

= cos (2 x) \frac{d}{d x} (2 x)

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

= 2 cos (2 x) \cdot 2

Simplify

= 4 cos (2 x)

- x^{2} + 7 x, x^{2} - 3 x

\int - x cos (n x) d x

\frac{d}{d x} (cos (3 x))

e^{- s}

5 x - 7

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