What is (\partial ^2)/(\partial y^2)(xy^{10}+x^2+y^4) ?

The answer to (\partial ^2)/(\partial y^2)(xy^{10}+x^2+y^4) is 90xy^8+12y^2

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(\partial ^2)/(\partial y^2)(xy^{10}+x^2+y^4)

\frac{\partial ^{2}}{\partial y ^{2}} (x y^{10} + x^{2} + y^{4})

90 x y^{8} + 12 y^{2}

Solution steps

\frac{\partial ^{2}}{\partial y ^{2}} (x y^{10} + x^{2} + y^{4})

\frac{\partial}{\partial y} (x y^{10} + x^{2} + y^{4}) = 10 x y^{9} + 4 y^{3}

= \frac{\partial}{\partial y} (10 x y^{9} + 4 y^{3})

\frac{\partial}{\partial y} (10 x y^{9} + 4 y^{3}) = 90 x y^{8} + 12 y^{2}

= 90 x y^{8} + 12 y^{2}

f (x) = x^{- \frac{1}{2}} + x^{\frac{1}{2}}

\frac{1}{s ^{3} + s ^{2} + s}

y = x^{3} - x

f (x) = cos (4 t + 12)

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

What is (\partial ^2)/(\partial y^2)(xy^{10}+x^2+y^4) ?
The answer to (\partial ^2)/(\partial y^2)(xy^{10}+x^2+y^4) is 90xy^8+12y^2