What is (\partial)/(\partial x)(e^{4x+5y}) ?

The answer to (\partial)/(\partial x)(e^{4x+5y}) is e^{4x+5y}*4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(e^{4x+5y})

\frac{\partial}{\partial x} (e^{4 x + 5 y})

e^{4 x + 5 y} \cdot 4

Solution steps

\frac{\partial}{\partial x} (e^{4 x + 5 y})

Treat

y

as a constant

Apply the chain rule:

e^{4 x + 5 y} \frac{\partial}{\partial x} (4 x + 5 y)

= e^{4 x + 5 y} \frac{\partial}{\partial x} (4 x + 5 y)

\frac{\partial}{\partial x} (4 x + 5 y) = 4

= e^{4 x + 5 y} \cdot 4

\frac{d}{d x} (1 + 3 cos^{2} (x))

\int \frac{2 x - x ^{2} - 1}{x ^{3} + x} d x

\frac{d}{d x} (7 - 5 x)

y = arcsin (\frac{x}{2}), at x = 1

\frac{d x}{d t} = sin (t) x + e^{- c o s (t)} sin (t)

What is (\partial)/(\partial x)(e^{4x+5y}) ?
The answer to (\partial)/(\partial x)(e^{4x+5y}) is e^{4x+5y}*4