(d^2)/(dt^2)((x)(cos(2t)+sin(2t)+1/5 e^t))

解答

\frac{d ^{2}}{d t ^{2}} ((x) (cos (2 t) + sin (2 t) + \frac{1}{5} e^{t}))

x (- 4 cos (2 t) - 4 sin (2 t) + \frac{1}{5} e^{t})

求解步骤

\frac{d ^{2}}{d t ^{2}} ((x) (cos (2 t) + sin (2 t) + \frac{1}{5} e^{t}))

\frac{d}{d t} (x (cos (2 t) + sin (2 t) + \frac{1}{5} e^{t})) = x (- sin (2 t) \cdot 2 + cos (2 t) \cdot 2 + \frac{1}{5} e^{t})

= \frac{d}{d t} (x (- sin (2 t) \cdot 2 + cos (2 t) \cdot 2 + \frac{1}{5} e^{t}))

\frac{d}{d t} (x (- sin (2 t) \cdot 2 + cos (2 t) \cdot 2 + \frac{1}{5} e^{t})) = x (- 4 cos (2 t) - 4 sin (2 t) + \frac{1}{5} e^{t})

= x (- 4 cos (2 t) - 4 sin (2 t) + \frac{1}{5} e^{t})

e x p an d - 3 (x - \frac{π}{3})

\frac{\partial}{\partial x} ((z) (x y - 2 x + 5 y))

e x p an d lo g_{10} (1)

s im pl i f y (3 u - \frac{3}{11} v)^{2}

e x p an d (x + e) x^{e - 1} e^{x - e}