en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial ^2)/(\partial x\partial y)(ln(3+x^2y^2))

Solution

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

Solution

\frac{12 x y}{( 3 + x ^{2} y ^{2} ) ^{2}}

Solution steps

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

\frac{\partial}{\partial x} (ln (3 + x^{2} y^{2})) = \frac{2 x y ^{2}}{3 + x ^{2} y ^{2}}

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

\frac{\partial}{\partial y} (\frac{2 x y ^{2}}{3 + x ^{2} y ^{2}}) = \frac{12 x y}{( 3 + x ^{2} y ^{2} ) ^{2}}

= \frac{12 x y}{( 3 + x ^{2} y ^{2} ) ^{2}}

Popular Examples

limit as x approaches 0-of (sin(|x|))/x

x \to 0 - lim (\frac{sin ( ∣ x ∣ )}{x})

integral of (3+2x)

\int (3 + 2 x) d x

integral of (1-x^2)^{(-1)/2}

\int (1 - x^{2})^{\frac{- 1}{2}} d x

(\partial}{\partial s}(\frac{s-r)/t)

\frac{\partial}{\partial s} (\frac{s - r}{t})

derivative of x/(2-sqrt(x))

\frac{d}{d x} (\frac{x}{2 - x})

Frequently Asked Questions (FAQ)

What is (\partial ^2)/(\partial x\partial y)(ln(3+x^2y^2)) ?
The answer to (\partial ^2)/(\partial x\partial y)(ln(3+x^2y^2)) is (12xy)/((3+x^2y^2)^2)