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

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

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

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

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derivative of

- cos (2 x)

2 sin (2 x)

Solution steps

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

Take the constant out:

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

= - \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

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

Simplify

= 2 sin (2 x)

\int_{1}^{4} \frac{x - 2}{x} d x

f (x) = 3 arccsc (x)

\int x^{2} sech^{2} (x^{3}) d x

\frac{d}{d x} (x^{3} - 8)

y^{^{'}} + 2 y = 25 sin (x) + 40 cos (x), y (0) = 1

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