derivative y=sqrt(x)-2\sqrt[3]{x}

解答

导数

y = x - 2 3 x

\frac{1}{2 x} - \frac{2}{3 x ^{\frac{2}{3}}}

求解步骤

\frac{d}{d x} (x - 2 3 x)

使用微分加减法定则:

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

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

\frac{d}{d x} (x) = \frac{1}{2 x}

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

= \frac{1}{2 x} - \frac{2}{3 x ^{\frac{2}{3}}}

d er i v a t i v e (2) (e^{3 x})

im pl i c i t \frac{d y}{d x}, x^{2} + x y + y^{2} = 7

\int_{0}^{\frac{π}{3}} 2 sec^{2} (x) d x

a re a f (x) = x + 3, g (x) = \frac{1}{2} x + 3

\int_{0}^{5} \frac{1}{( 5 - x ) ^{\frac{1}{3}}} d x