What is the derivative of f(x)=27sin(3x) ?

The derivative of f(x)=27sin(3x) is 81cos(3x)

What is the first derivative of f(x)=27sin(3x) ?

The first derivative of f(x)=27sin(3x) is 81cos(3x)

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derivative of

f (x) = 27 sin (3 x)

81 cos (3 x)

Solution steps

\frac{d}{d x} (27 sin (3 x))

Take the constant out:

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

= 27 \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

= 27 cos (3 x) \cdot 3

Simplify

= 81 cos (3 x)

\frac{\partial}{\partial y} (y^{\frac{y}{x}} sin (\frac{y}{x}))

\int e^{2 x} (2 x y + 2 x^{2} y + \frac{2}{3} y^{3}) d x

x \to \infty lim (10 + 15 e^{- 2 x})

(2 x + y e^{\frac{y}{x}}) d x - x e^{\frac{y}{x}} d y = 0, y (1) = 4

x \to \infty lim (\frac{1}{5 ^{\frac{1}{x}}})

What is the derivative of f(x)=27sin(3x) ?
The derivative of f(x)=27sin(3x) is 81cos(3x)
What is the first derivative of f(x)=27sin(3x) ?
The first derivative of f(x)=27sin(3x) is 81cos(3x)