What is (\partial)/(\partial y)(e^{5x}sin(5y)) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial y)(e^{5x}sin(5y))

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

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

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the chain rule:

cos (5 y) \frac{\partial}{\partial y} (5 y)

= cos (5 y) \frac{\partial}{\partial y} (5 y)

\frac{\partial}{\partial y} (5 y) = 5

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

\int - 4 tan (x) d x

\int 35 sec^{- 2} (x t a) n^{3} x d x

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

(- \frac{1}{x})^{^{'}}

y^{^{''}} + 2 y^{^{'}} = 2 x + 9 - e^{- 2 x}

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