((x^2}{100}+8+\frac{20)/x)^'

解答

(\frac{x ^{2}}{100} + 8 + \frac{20}{x})^{^{'}}

\frac{x}{50} - \frac{20}{x ^{2}}

求解步骤

(\frac{x ^{2}}{100} + 8 + \frac{20}{x})^{'}

使用微分加减法定则:

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

= (\frac{x ^{2}}{100})^{^{'}} + 8^{^{'}} + (\frac{20}{x})^{^{'}}

(\frac{x ^{2}}{100})^{'} = \frac{x}{50}

8^{'} = 0

(\frac{20}{x})^{'} = - \frac{20}{x ^{2}}

= \frac{x}{50} + 0 - \frac{20}{x ^{2}}

化简

= \frac{x}{50} - \frac{20}{x ^{2}}

3 y^{^{''}} + 6 y^{^{'}} + 2 y = 0

\int_{1}^{e} \frac{ln ( x )}{x ^{3}} d x

d er i v a t i v e f (θ) = 3 tan (θ)

x \to + (- 3) lim (5)

\frac{d}{d x} (ln (sin (\frac{x}{2})))