What is the derivative of (sin(3x)^4) ?

The derivative of (sin(3x)^4) is 12sin^3(3x)cos(3x)

What is the first derivative of (sin(3x)^4) ?

The first derivative of (sin(3x)^4) is 12sin^3(3x)cos(3x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} ((sin (3 x))^{4})

12 sin^{3} (3 x) cos (3 x)

Solution steps

\frac{d}{d x} ((sin (3 x))^{4})

Apply the chain rule:

4 (sin (3 x))^{3} \frac{d}{d x} (sin (3 x))

= 4 (sin (3 x))^{3} \frac{d}{d x} (sin (3 x))

\frac{d}{d x} (sin (3 x)) = cos (3 x) \cdot 3

= 4 (sin (3 x))^{3} cos (3 x) \cdot 3

Simplify

= 12 sin^{3} (3 x) cos (3 x)

\int \frac{1}{2 - x} d x

\frac{5 + x}{1 - 5 x}

x \to 0 lim (\frac{e ^{- 3 x} - 1}{x})

x \to - 4 lim (x^{2} + 4 x)

y^{^{''}} + 6 y^{^{'}} + 9 y = 0, y (1) = 0

What is the derivative of (sin(3x)^4) ?
The derivative of (sin(3x)^4) is 12sin^3(3x)cos(3x)
What is the first derivative of (sin(3x)^4) ?
The first derivative of (sin(3x)^4) is 12sin^3(3x)cos(3x)