(\partial)/(\partial x)(Q(x)0.5^{x/(35)})

解答

\frac{\partial}{\partial x} (Q (x) 0. 5^{\frac{x}{35}})

0. 5^{\frac{x}{35}} \frac{\partial}{\partial x} (Q (x)) - 0.01980 \dots e^{- 0.01980 \dots x} Q (x)

求解步骤

\frac{\partial}{\partial x} (Q (x) \cdot 0. 5^{\frac{x}{35}})

使用微分乘法定则:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = Q (x), g = 0. 5^{\frac{x}{35}}

= \frac{\partial}{\partial x} (Q (x)) 0. 5^{\frac{x}{35}} + \frac{\partial}{\partial x} (0. 5^{\frac{x}{35}}) Q (x)

\frac{\partial}{\partial x} (0. 5^{\frac{x}{35}}) = - 0.01980 \dots e^{- 0.01980 \dots x}

= \frac{\partial}{\partial x} (Q (x)) 0. 5^{\frac{x}{35}} + (- 0.01980 \dots e^{- 0.01980 \dots x}) Q (x)

化简

= 0. 5^{\frac{x}{35}} \frac{\partial}{\partial x} (Q (x)) - 0.01980 \dots e^{- 0.01980 \dots x} Q (x)

n = 0 \sum \infty \frac{n}{n ^{2} + 1}

d er i v a t i v e f (x) = (3 x^{2} + 4 x + 1)^{10}

d er i v a t i v e f (x) = 6 x^{2} + 3 x - 4

\int x (sin (x^{2})) d x

a re a \frac{x ^{2}}{8}, 2 x^{2}, y = 2, y = 0