What is the derivative of-18sin(3x) ?

The derivative of-18sin(3x) is -54cos(3x)

What is the first derivative of-18sin(3x) ?

The first derivative of-18sin(3x) is -54cos(3x)

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\frac{d}{d x} (- 18 sin (3 x))

- 54 cos (3 x)

Solution steps

\frac{d}{d x} (- 18 sin (3 x))

Take the constant out:

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

= - 18 \frac{d}{d x} (sin (3 x))

Apply the chain rule:

cos (3 x) \frac{d}{d x} (3 x)

= cos (3 x) \frac{d}{d x} (3 x)

\frac{d}{d x} (3 x) = 3

= - 18 cos (3 x) \cdot 3

Simplify

= - 54 cos (3 x)

x \to 0 + lim (x^{4})

x \to - 3 lim (\frac{x + 1}{x + 3})

(19, 3), (20, 3)

\int (x - \frac{2}{x})^{2} d x

\frac{d}{d x} (14 sin (x))

What is the derivative of-18sin(3x) ?
The derivative of-18sin(3x) is -54cos(3x)
What is the first derivative of-18sin(3x) ?
The first derivative of-18sin(3x) is -54cos(3x)