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

解答

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

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

求解步骤

\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}

d er i v a t i v e f (x) = x^{- \frac{1}{2}} + x^{\frac{1}{2}}

in v erse l a pl a ce \frac{1}{s ^{3} + s ^{2} + s}

d er i v a t i v e y = x^{3} - x

d er i v a t i v e f (x) = cos (4 t + 12)

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