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

Lösung

\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)))

Schritte zur Lösung

\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)))

s im pl i f y (1 + 4 y i)^{2}

e x p an d (cot (x) - 3) (csc (x) + 2)

e x p an d (3 x y^{2} - 4 y) + (3 x - 4 x^{2} y) \frac{d y}{d x}

s im pl i f y (x^{2} + 6) (1 - x)

e x p an d (1 + \frac{2 i}{n})^{2}