derivative of 1-2e^{3x}

解答

\frac{d}{d x} (1 - 2 e^{3 x})

- 6 e^{3 x}

求解步骤

\frac{d}{d x} (1 - 2 e^{3 x})

使用微分加减法定则:

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

= \frac{d}{d x} (1) - \frac{d}{d x} (2 e^{3 x})

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

\frac{d}{d x} (2 e^{3 x}) = 6 e^{3 x}

= 0 - 6 e^{3 x}

化简

= - 6 e^{3 x}

d er i v a t i v e f (x) = (\frac{3 x ^{2}}{2 x + 4})^{3}, x = 2

t a y l or 100 x + 0.01 x^{2}

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

\int_{0}^{l n (2)} 4 (2 - x e^{x}) d x

x^{2} \frac{d ^{2} y}{d x ^{2}} + x \frac{d y}{d x} + y = 0