What is the derivative of 3/2 sin(2x) ?

The derivative of 3/2 sin(2x) is 3cos(2x)

What is the first derivative of 3/2 sin(2x) ?

The first derivative of 3/2 sin(2x) is 3cos(2x)

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\frac{d}{d x} (\frac{3}{2} sin (2 x))

3 cos (2 x)

Solution steps

\frac{d}{d x} (\frac{3}{2} sin (2 x))

Take the constant out:

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

= \frac{3}{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

= \frac{3}{2} cos (2 x) \cdot 2

Simplify

\frac{3}{2} cos (2 x) \cdot 2 : 3 cos (2 x)

= 3 cos (2 x)

\int (x^{2} - y) d x

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

\int x csc^{2} (4 x) d x

\int_{- 1}^{1} 0.09375 (4 - x^{2}) d x

\int e^{- 17 x} d x

What is the derivative of 3/2 sin(2x) ?
The derivative of 3/2 sin(2x) is 3cos(2x)
What is the first derivative of 3/2 sin(2x) ?
The first derivative of 3/2 sin(2x) is 3cos(2x)