What is the derivative of-12sin(6x) ?

The derivative of-12sin(6x) is -72cos(6x)

What is the first derivative of-12sin(6x) ?

The first derivative of-12sin(6x) is -72cos(6x)

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\frac{d}{d x} (- 12 sin (6 x))

- 72 cos (6 x)

Solution steps

\frac{d}{d x} (- 12 sin (6 x))

Take the constant out:

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

= - 12 \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

= - 12 cos (6 x) \cdot 6

Simplify

= - 72 cos (6 x)

What is the derivative of-12sin(6x) ?
The derivative of-12sin(6x) is -72cos(6x)
What is the first derivative of-12sin(6x) ?
The first derivative of-12sin(6x) is -72cos(6x)