What is the derivative of 8sin(3x) ?

The derivative of 8sin(3x) is 24cos(3x)

What is the first derivative of 8sin(3x) ?

The first derivative of 8sin(3x) is 24cos(3x)

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\frac{d}{d x} (8 sin (3 x))

24 cos (3 x)

Solution steps

\frac{d}{d x} (8 sin (3 x))

Take the constant out:

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

= 8 \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

= 8 cos (3 x) \cdot 3

Simplify

= 24 cos (3 x)

x \to \frac{+ π}{2} lim (4 sec (x))

\int \frac{1}{( 4 x ^{2} + 9 ) ^{2}} d x

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

sin (x^{3})

x \to 0 lim (- 3 x^{3} - 7 x + 8)

What is the derivative of 8sin(3x) ?
The derivative of 8sin(3x) is 24cos(3x)
What is the first derivative of 8sin(3x) ?
The first derivative of 8sin(3x) is 24cos(3x)