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Popular Calculus >

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

Solution

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

Solution

\frac{18 x y ^{2}}{( 3 x ^{2} - y ^{3} - 3 ) ^{2}}

Solution steps

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

\frac{\partial}{\partial x} (ln (3 x^{2} - y^{3} - 3)) = \frac{6 x}{3 x ^{2} - y ^{3} - 3}

= \frac{\partial}{\partial y} (\frac{6 x}{3 x ^{2} - y ^{3} - 3})

\frac{\partial}{\partial y} (\frac{6 x}{3 x ^{2} - y ^{3} - 3}) = \frac{18 x y ^{2}}{( 3 x ^{2} - y ^{3} - 3 ) ^{2}}

= \frac{18 x y ^{2}}{( 3 x ^{2} - y ^{3} - 3 ) ^{2}}

Popular Examples

derivative of 9e^{-x}+e^{4x}

\frac{d}{d x} (9 e^{- x} + e^{4 x})

integral of ((x^3)/(x^2+1))

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

(\partial)/(\partial z)(\sqrt[3]{xyz})

\frac{\partial}{\partial z} (3 x yz)

derivative of (2x^2-1^3*(1-x^2)^{-3})

\frac{d}{d x} ((2 x^{2} - 1)^{3} \cdot (1 - x^{2})^{- 3})

derivative of 2+x^2

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

Frequently Asked Questions (FAQ)

What is (\partial ^2)/(\partial x\partial y)(ln(3x^2-y^3-3)) ?
The answer to (\partial ^2)/(\partial x\partial y)(ln(3x^2-y^3-3)) is (18xy^2)/((3x^2-y^3-3)^2)