derivative f(x)=4x^{3/5}

解答

导数

f (x) = 4 x^{\frac{3}{5}}

\frac{12}{5 x ^{\frac{2}{5}}}

求解步骤

\frac{d}{d x} (4 x^{\frac{3}{5}})

将常数提出:

(a \cdot f)^{'} = a \cdot f^{'}

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

使用幂法则:

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

= 4 \cdot \frac{3}{5} x^{\frac{3}{5} - 1}

化简

4 \cdot \frac{3}{5} x^{\frac{3}{5} - 1} : \frac{12}{5 x ^{\frac{2}{5}}}

= \frac{12}{5 x ^{\frac{2}{5}}}

\int_{- 9}^{9} 58

x \to 0 lim (\frac{x + 3}{x})

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

t an g e n t x^{2} + x y - y^{2} = - 1, (3, 5)

s im pl i f y \frac{4 x ^{2} + 4 x + 8}{x}