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

The derivative of 6sin(6x) is 36cos(6x)

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

The first derivative of 6sin(6x) is 36cos(6x)

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

36 cos (6 x)

Solution steps

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

Take the constant out:

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

= 6 \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

= 6 cos (6 x) \cdot 6

Simplify

= 36 cos (6 x)

- 3

\int \frac{x}{x - 7} d x

\int 5 sin (6 π) t d t

\frac{2 x}{x ^{2} + 1}

What is the derivative of 6sin(6x) ?
The derivative of 6sin(6x) is 36cos(6x)
What is the first derivative of 6sin(6x) ?
The first derivative of 6sin(6x) is 36cos(6x)