What is the derivative of sin(-5x) ?

The derivative of sin(-5x) is -cos(5x)*5

What is the first derivative of sin(-5x) ?

The first derivative of sin(-5x) is -cos(5x)*5

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derivative of

sin (- 5 x)

- cos (5 x) \cdot 5

Solution steps

\frac{d}{d x} (sin (- 5 x))

Simplify

sin (- 5 x) : - sin (5 x)

= \frac{d}{d x} (- sin (5 x))

Take the constant out:

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

= - \frac{d}{d x} (sin (5 x))

Apply the chain rule:

cos (5 x) \frac{d}{d x} (5 x)

= cos (5 x) \frac{d}{d x} (5 x)

\frac{d}{d x} (5 x) = 5

= - cos (5 x) \cdot 5

\int \frac{1}{cos ( u ) + 1} d u

\frac{d y}{d x} = 6 x 8 y + 17

\frac{d y}{d x} = x^{2} + \frac{y}{x}

\int \frac{- 1}{1 + sin ( x )} d x

f (x) = sin (x) \cdot cos (x)

What is the derivative of sin(-5x) ?
The derivative of sin(-5x) is -cos(5x)*5
What is the first derivative of sin(-5x) ?
The first derivative of sin(-5x) is -cos(5x)*5