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

The answer to (\partial)/(\partial x)(e^{3x}cos(5y)) is cos(5y)e^{3x}*3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

cos (5 y) e^{3 x} \cdot 3

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the chain rule:

e^{3 x} \frac{\partial}{\partial x} (3 x)

= e^{3 x} \frac{\partial}{\partial x} (3 x)

\frac{\partial}{\partial x} (3 x) = 3

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

\frac{1}{t ^{2}}

\int \frac{3 x ^{2} - 8 x + 13}{( x + 3 ) ( x - 1 ) ^{2}} d x

\frac{\partial}{\partial y} (4 x^{2} + 3 cos (y))

\frac{d}{d x} (x^{2} + \frac{4}{x})

\frac{\partial}{\partial x} (ln (3 x + 3 cy))

What is (\partial)/(\partial x)(e^{3x}cos(5y)) ?
The answer to (\partial)/(\partial x)(e^{3x}cos(5y)) is cos(5y)e^{3x}*3