derivative of (dy/(dx))=4x

解答

\frac{d}{d x} (\frac{d y}{d x}) = 4 x

y = \frac{2 x ^{3}}{3} + c_{1} x + c_{2}

求解步骤

\frac{d ^{2} y}{d x ^{2}} = 4 x

解

y^{''} (x) = 4 x : y^{'} (x) = 2 x^{2} + c_{1}

解

y^{'} (x) = 2 x^{2} + c_{1} : y = \frac{2 x ^{3}}{3} + c_{1} x + c_{2}

y = \frac{2 x ^{3}}{3} + c_{1} x + c_{2}

t an g e n t f (x) = - 3 e^{- 2 x} + 3

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