What is the derivative of 24cos(3x) ?

The derivative of 24cos(3x) is -72sin(3x)

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

The first derivative of 24cos(3x) is -72sin(3x)

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\frac{d}{d x} (24 cos (3 x))

- 72 sin (3 x)

Solution steps

\frac{d}{d x} (24 cos (3 x))

Take the constant out:

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

= 24 \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

= 24 (- sin (3 x) \cdot 3)

Simplify

= - 72 sin (3 x)

- 3 sin (3 x)

\frac{d}{d t} (8 t^{\frac{3}{2}})

y^{^{''}} + 4 y = csc (2 x)

y^{^{''}} - 4 y^{^{'}} + 4 y = \frac{( e ^{2 x} )}{x ^{2}}

e^{x}, e^{- 4}, 4, 0

What is the derivative of 24cos(3x) ?
The derivative of 24cos(3x) is -72sin(3x)
What is the first derivative of 24cos(3x) ?
The first derivative of 24cos(3x) is -72sin(3x)