(\partial)/(\partial x)(1+cos^4(x^4))

解答

\frac{\partial}{\partial x} (1 + cos^{4} (x^{4}))

- 16 x^{3} cos^{3} (x^{4}) sin (x^{4})

求解步骤

\frac{\partial}{\partial x} (1 + cos^{4} (x^{4}))

使用微分加减法定则:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial x} (1) + \frac{\partial}{\partial x} (cos^{4} (x^{4}))

\frac{\partial}{\partial x} (1) = 0

\frac{\partial}{\partial x} (cos^{4} (x^{4})) = - 16 x^{3} cos^{3} (x^{4}) sin (x^{4})

= 0 - 16 x^{3} cos^{3} (x^{4}) sin (x^{4})

化简

= - 16 x^{3} cos^{3} (x^{4}) sin (x^{4})

d er i v a t i v e sin (ln (w))

(4 y + 2 t - 5) d t + (6 y + 4 t - 1) d y = 0

n = 0 \sum \infty e^{- an}

\frac{2 d y}{d x} + 6 y = 3

x \to \infty lim (- 12)