What is the derivative of (-2sin(2x)/(sqrt(13))) ?

The derivative of (-2sin(2x)/(sqrt(13))) is -4/(sqrt(13))cos(2x)

What is the first derivative of (-2sin(2x)/(sqrt(13))) ?

The first derivative of (-2sin(2x)/(sqrt(13))) is -4/(sqrt(13))cos(2x)

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\frac{d}{d x} (\frac{- 2 sin ( 2 x )}{13})

- \frac{4}{13} cos (2 x)

Solution steps

\frac{d}{d x} (\frac{- 2 sin ( 2 x )}{13})

Simplify

\frac{- 2 sin ( 2 x )}{13} : - \frac{2 sin ( 2 x )}{13}

= \frac{d}{d x} (- \frac{2 sin ( 2 x )}{13})

Take the constant out:

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

= - \frac{2}{13} \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{2}{13} cos (2 x) \cdot 2

Simplify

- \frac{2}{13} cos (2 x) \cdot 2 : - \frac{4}{13} cos (2 x)

= - \frac{4}{13} cos (2 x)

\int \frac{1}{8 ^{x}} d x

f (x) = 5 x^{2}, at x = 0

n = 1 \sum \infty (- 1)^{n + 1} \frac{n + 1}{2 n ^{2} + 1}

\int \frac{ln ( x ^{\frac{7}{2}} )}{x} d x

\frac{d}{d x} ((ln (x))^{p (x)})

What is the derivative of (-2sin(2x)/(sqrt(13))) ?
The derivative of (-2sin(2x)/(sqrt(13))) is -4/(sqrt(13))cos(2x)
What is the first derivative of (-2sin(2x)/(sqrt(13))) ?
The first derivative of (-2sin(2x)/(sqrt(13))) is -4/(sqrt(13))cos(2x)