derivative f(x)=9x-10x^{1/4}

解答

导数

f (x) = 9 x - 10 x^{\frac{1}{4}}

9 - \frac{5}{2 x ^{\frac{3}{4}}}

求解步骤

\frac{d}{d x} (9 x - 10 x^{\frac{1}{4}})

使用微分加减法定则:

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

= \frac{d}{d x} (9 x) - \frac{d}{d x} (10 x^{\frac{1}{4}})

\frac{d}{d x} (9 x) = 9

\frac{d}{d x} (10 x^{\frac{1}{4}}) = \frac{5}{2 x ^{\frac{3}{4}}}

= 9 - \frac{5}{2 x ^{\frac{3}{4}}}

\int \frac{1}{cos ( y )} d y

\int_{0}^{0.75} 2 x d x

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

a re a x = y \frac{1}{3}, x = 0, y = 64

(y^{2} + y x) d x + x^{2} d y = 0