What is (\partial)/(\partial x)(-6y^6sin(6x)) ?

The answer to (\partial)/(\partial x)(-6y^6sin(6x)) is -36y^6cos(6x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(-6y^6sin(6x))

\frac{\partial}{\partial x} (- 6 y^{6} sin (6 x))

- 36 y^{6} cos (6 x)

Solution steps

\frac{\partial}{\partial x} (- 6 y^{6} sin (6 x))

Treat

y

as a constant

Take the constant out:

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

= - 6 y^{6} \frac{\partial}{\partial x} (sin (6 x))

Apply the chain rule:

cos (6 x) \frac{\partial}{\partial x} (6 x)

= cos (6 x) \frac{\partial}{\partial x} (6 x)

\frac{\partial}{\partial x} (6 x) = 6

= - 6 y^{6} cos (6 x) \cdot 6

Simplify

= - 36 y^{6} cos (6 x)

\frac{d y}{d x} = 3 x^{2}

f (x) = \frac{3 - x}{x + 1}

\frac{d}{d x} (e^{- x} cos (5 x))

(8 \frac{1}{7}, 9), (4, 3.2)

x \to 0 lim (\frac{( 3 e ^{- x} - 3 )}{x ^{2} - 2 x})

What is (\partial)/(\partial x)(-6y^6sin(6x)) ?
The answer to (\partial)/(\partial x)(-6y^6sin(6x)) is -36y^6cos(6x)