What is (\partial)/(\partial y)(3e^xln(y)) ?

The answer to (\partial)/(\partial y)(3e^xln(y)) is (3e^x)/y

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial y)(3e^xln(y))

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

\frac{3 e ^{x}}{y}

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the common derivative:

\frac{\partial}{\partial y} (ln (y)) = \frac{1}{y}

= 3 e^{x} \frac{1}{y}

Simplify

3 e^{x} \frac{1}{y} : \frac{3 e ^{x}}{y}

= \frac{3 e ^{x}}{y}

\int_{0}^{1} 6 x^{4} e^{- x} d x

x \to 0 lim (\frac{e ^{- 9 x} - 1}{x})

x \to 3 lim (5)

\int_{- 2}^{3} ∣ x + 1 ∣ d x

y^{^{'}} = \frac{5 x ^{2} + y ^{2}}{x y}

What is (\partial)/(\partial y)(3e^xln(y)) ?
The answer to (\partial)/(\partial y)(3e^xln(y)) is (3e^x)/y