What is the derivative of (cos(3x)*3) ?

The derivative of (cos(3x)*3) is -9sin(3x)

What is the first derivative of (cos(3x)*3) ?

The first derivative of (cos(3x)*3) is -9sin(3x)

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

- 9 sin (3 x)

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

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

= 3 (- sin (3 x) \cdot 3)

Simplify

= - 9 sin (3 x)

f (x) = - x

ln (\frac{x}{2}), 2

\int_{0}^{2} \frac{1}{( x ^{2} + 4 ) ^{2}} d x

\int (x^{2} - 3 x + 2) d x

What is the derivative of (cos(3x)*3) ?
The derivative of (cos(3x)*3) is -9sin(3x)
What is the first derivative of (cos(3x)*3) ?
The first derivative of (cos(3x)*3) is -9sin(3x)