What is the derivative of sin(-6x) ?

The derivative of sin(-6x) is -cos(6x)*6

What is the first derivative of sin(-6x) ?

The first derivative of sin(-6x) is -cos(6x)*6

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\frac{d}{d x} (sin (- 6 x))

- cos (6 x) \cdot 6

Solution steps

\frac{d}{d x} (sin (- 6 x))

Simplify

sin (- 6 x) : - sin (6 x)

= \frac{d}{d x} (- sin (6 x))

Take the constant out:

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

= - \frac{d}{d x} (sin (6 x))

Apply the chain rule:

cos (6 x) \frac{d}{d x} (6 x)

= cos (6 x) \frac{d}{d x} (6 x)

\frac{d}{d x} (6 x) = 6

= - cos (6 x) \cdot 6

\int (2 x - 5) e^{x} d x

x \to 0 + lim (2 x^{x})

\int (ln (x + 1 + x^{2})) d x

\frac{\partial}{\partial x} (x \cdot e^{y})

x \to \infty lim (9 x^{2} - 1)

What is the derivative of sin(-6x) ?
The derivative of sin(-6x) is -cos(6x)*6
What is the first derivative of sin(-6x) ?
The first derivative of sin(-6x) is -cos(6x)*6