What is the derivative of-1/2 cos(2x) ?

The derivative of-1/2 cos(2x) is sin(2x)

What is the first derivative of-1/2 cos(2x) ?

The first derivative of-1/2 cos(2x) is sin(2x)

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derivative of

- \frac{1}{2} cos (2 x)

sin (2 x)

Solution steps

\frac{d}{d x} (- \frac{1}{2} cos (2 x))

Take the constant out:

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

= - \frac{1}{2} \frac{d}{d x} (cos (2 x))

Apply the chain rule:

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

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

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

= - \frac{1}{2} (- sin (2 x) \cdot 2)

Simplify

- \frac{1}{2} (- sin (2 x) \cdot 2) : sin (2 x)

= sin (2 x)

(x^{2})^{^{'}}

\int 5 e^{- 5 x} sin (5 x) d x

4 π (3 + x)^{2}

f (x) = \frac{x ^{2}}{x + 7}, at x = 1

\frac{d ^{3}}{d x ^{3}} ((2 x + 5)^{7})

What is the derivative of-1/2 cos(2x) ?
The derivative of-1/2 cos(2x) is sin(2x)
What is the first derivative of-1/2 cos(2x) ?
The first derivative of-1/2 cos(2x) is sin(2x)