(d^2)/(dk^2)(({y}(k,x))(e^{2x}-kx))

解答

\frac{d ^{2}}{d k ^{2}} ((y (k, x)) (e^{2 x} - k x))

(\frac{d ^{2}}{d k ^{2}} (y (k, x)) (e^{2 x} - k x) + (- x) \frac{d}{d k} (y (k, x))) + (- x \frac{d}{d k} (y (k, x)))

求解步骤

\frac{d ^{2}}{d k ^{2}} ((y (k, x)) (e^{2 x} - k x))

\frac{d}{d k} (y (k, x) (e^{2 x} - k x)) = \frac{d}{d k} (y (k, x)) (e^{2 x} - k x) + (- x) y (k, x)

= \frac{d}{d k} (\frac{d}{d k} (y (k, x)) (e^{2 x} - k x) + (- x) y (k, x))

\frac{d}{d k} (\frac{d}{d k} (y (k, x)) (e^{2 x} - k x) + (- x) y (k, x)) = (\frac{d ^{2}}{d k ^{2}} (y (k, x)) (e^{2 x} - k x) + (- x) \frac{d}{d k} (y (k, x))) + (- x \frac{d}{d k} (y (k, x)))

= (\frac{d ^{2}}{d k ^{2}} (y (k, x)) (e^{2 x} - k x) + (- x) \frac{d}{d k} (y (k, x))) + (- x \frac{d}{d k} (y (k, x)))

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