What is (\partial)/(\partial y)(y^3cos(5x)) ?

The answer to (\partial)/(\partial y)(y^3cos(5x)) is 3y^2cos(5x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial y)(y^3cos(5x))

\frac{\partial}{\partial y} (y^{3} cos (5 x))

3 y^{2} cos (5 x)

Solution steps

\frac{\partial}{\partial y} (y^{3} cos (5 x))

Treat

x

as a constant

Take the constant out:

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

= cos (5 x) \frac{\partial}{\partial y} (y^{3})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= cos (5 x) \cdot 3 y^{3 - 1}

Simplify

= 3 y^{2} cos (5 x)

\int \frac{e ^{3 x}}{e ^{3 x} + 4} d x

\int_{l n (16)}^{l n (49)} e^{\frac{x}{2}} d x

\int \frac{1}{x ^{2} + 2 x + 17} d x

\frac{1}{x - 1}, 16

\frac{d}{d x} (∣ 0 ∣)

What is (\partial)/(\partial y)(y^3cos(5x)) ?
The answer to (\partial)/(\partial y)(y^3cos(5x)) is 3y^2cos(5x)