What is the derivative of f(x)=cos(6x)*6 ?

The derivative of f(x)=cos(6x)*6 is -36sin(6x)

What is the first derivative of f(x)=cos(6x)*6 ?

The first derivative of f(x)=cos(6x)*6 is -36sin(6x)

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derivative of

f (x) = cos (6 x) \cdot 6

- 36 sin (6 x)

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

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

= 6 (- sin (6 x) \cdot 6)

Simplify

= - 36 sin (6 x)

What is the derivative of f(x)=cos(6x)*6 ?
The derivative of f(x)=cos(6x)*6 is -36sin(6x)
What is the first derivative of f(x)=cos(6x)*6 ?
The first derivative of f(x)=cos(6x)*6 is -36sin(6x)