What is the d/(dy)(e^xsin(y)) ?

The d/(dy)(e^xsin(y)) is e^xcos(y)

What is the first d/(dy)(e^xsin(y)) ?

The first d/(dy)(e^xsin(y)) is e^xcos(y)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d y} (e^{x} sin (y))

e^{x} cos (y)

Solution steps

\frac{d}{d y} (e^{x} sin (y))

Treat

x

as a constant

Take the constant out:

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

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

Apply the common derivative:

\frac{d}{d y} (sin (y)) = cos (y)

= e^{x} cos (y)

\int y + cos (x) d x

\frac{\partial}{\partial x} (\frac{7 y}{x ^{5}})

\frac{\partial}{\partial y} (ln (x^{6} + y^{4}))

\int_{0}^{2} x^{4} - 2 x^{3} d x

\frac{\partial}{\partial x} (sin^{2} (m x + n y))