derivative x^7

解答

导数

x^{7}

7 x^{6}

求解步骤

\frac{d}{d x} (x^{7})

使用幂法则:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 7 x^{7 - 1}

化简

= 7 x^{6}

\frac{d}{d x} (\frac{5}{3 x ^{8}})

\int \frac{cos ( 3 x )}{sin ^{2} ( 3 x )} d x

a re a x e^{x}, 1 \leq x \leq 7

\frac{\partial}{\partial x} (x^{2} y^{\frac{1}{3}})

\frac{d}{d t} (e^{- t} - e^{- t} t)