What is the derivative of 81sin(3x) ?

The derivative of 81sin(3x) is 243cos(3x)

What is the first derivative of 81sin(3x) ?

The first derivative of 81sin(3x) is 243cos(3x)

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\frac{d}{d x} (81 sin (3 x))

243 cos (3 x)

Solution steps

\frac{d}{d x} (81 sin (3 x))

Take the constant out:

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

= 81 \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

= 81 cos (3 x) \cdot 3

Simplify

= 243 cos (3 x)

\int 2 x^{2} - 3 x + 5 d x

\frac{d y}{d t} + \frac{23 y}{t} = \frac{1}{t}

1390 - 34 x, 88 x, [11.3934400000000 \dots, 12.3934400000000 \dots]

f (x) = n! (3 - x)^{- 1}

\frac{\partial}{\partial x} (x y^{2} e^{y})

What is the derivative of 81sin(3x) ?
The derivative of 81sin(3x) is 243cos(3x)
What is the first derivative of 81sin(3x) ?
The first derivative of 81sin(3x) is 243cos(3x)