(d^2)/(dx^2)(({f}(x))(4x^2-5x-2))

Lösung

\frac{d ^{2}}{d x ^{2}} ((f (x)) (4 x^{2} - 5 x - 2))

\frac{d ^{2}}{d x ^{2}} (f (x)) (4 x^{2} - 5 x - 2) + 2 (8 x - 5) \frac{d}{d x} (f (x)) + 8 f (x)

Schritte zur Lösung

\frac{d ^{2}}{d x ^{2}} ((f (x)) (4 x^{2} - 5 x - 2))

\frac{d}{d x} (f (x) (4 x^{2} - 5 x - 2)) = \frac{d}{d x} (f (x)) (4 x^{2} - 5 x - 2) + (8 x - 5) f (x)

= \frac{d}{d x} (\frac{d}{d x} (f (x)) (4 x^{2} - 5 x - 2) + (8 x - 5) f (x))

\frac{d}{d x} (\frac{d}{d x} (f (x)) (4 x^{2} - 5 x - 2) + (8 x - 5) f (x)) = \frac{d ^{2}}{d x ^{2}} (f (x)) (4 x^{2} - 5 x - 2) + 2 (8 x - 5) \frac{d}{d x} (f (x)) + 8 f (x)

= \frac{d ^{2}}{d x ^{2}} (f (x)) (4 x^{2} - 5 x - 2) + 2 (8 x - 5) \frac{d}{d x} (f (x)) + 8 f (x)

e x p an d y^{3} (10 - 6 y + e^{- 3 x})

e x p an d [cos (2 t) \cdot u (t - 2 π)] [3 (1 - u (t - 2 π))]

e x p an d f (- 3, - 2)

e x p an d \frac{s - 2 s ^{2} - 2}{s ^{2} ( s - 2 ) ( s ^{2} + 1 )}

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