What is (\partial)/(\partial x)(4y^3sin(3x)) ?

The answer to (\partial)/(\partial x)(4y^3sin(3x)) is 12y^3cos(3x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(4y^3sin(3x))

\frac{\partial}{\partial x} (4 y^{3} sin (3 x))

12 y^{3} cos (3 x)

Solution steps

\frac{\partial}{\partial x} (4 y^{3} sin (3 x))

Treat

y

as a constant

Take the constant out:

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

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

Apply the chain rule:

cos (3 x) \frac{\partial}{\partial x} (3 x)

= cos (3 x) \frac{\partial}{\partial x} (3 x)

\frac{\partial}{\partial x} (3 x) = 3

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

Simplify

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

x \to \infty lim (ln (8))

x \to 1 lim (- \frac{x ^{2} - 1}{x - 1})

\int \frac{1}{x 4 x ^{4} - 1} d x

\int_{- 2}^{1} (- x^{2} - x + 2) d x

\int 3 25 - x d x

What is (\partial)/(\partial x)(4y^3sin(3x)) ?
The answer to (\partial)/(\partial x)(4y^3sin(3x)) is 12y^3cos(3x)