What is (\partial)/(\partial x)(y^5sin(6x)) ?

The answer to (\partial)/(\partial x)(y^5sin(6x)) is y^5cos(6x)*6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(y^5sin(6x))

\frac{\partial}{\partial x} (y^{5} sin (6 x))

y^{5} cos (6 x) \cdot 6

Solution steps

\frac{\partial}{\partial x} (y^{5} sin (6 x))

Treat

y

as a constant

Take the constant out:

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

= y^{5} \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

= y^{5} cos (6 x) \cdot 6

\int_{0}^{1} \int_{0}^{s^{5}} cos (s^{6}) d t d s

y^{^{'}} = - t y

y^{^{'}} = \frac{( x + 2 y )}{x}

\frac{d}{d x} ((1 + e^{- x})^{- 1})

\frac{d y}{d x} = y (1 - y)

What is (\partial)/(\partial x)(y^5sin(6x)) ?
The answer to (\partial)/(\partial x)(y^5sin(6x)) is y^5cos(6x)*6