derivative-(x^2)/(y^2)

解答

导数

- \frac{x ^{2}}{y ^{2}}

- \frac{2 x}{y ^{2}}

求解步骤

\frac{d}{d x} (- \frac{x ^{2}}{y ^{2}})

将

y

视为常数

将常数提出:

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

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

使用幂法则:

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

= - \frac{1}{y ^{2}} \cdot 2 x^{2 - 1}

化简

- \frac{1}{y ^{2}} \cdot 2 x^{2 - 1} : - \frac{2 x}{y ^{2}}

= - \frac{2 x}{y ^{2}}

\int \frac{( 2 x ^{2} + 4 x - 5 )}{x ^{2} ( x + 3 )} d x

\int_{1}^{3} x^{2} + 2 x - 2 d x

\int_{1}^{4} x^{\frac{3}{2}} ln (x) d x

\int_{0}^{1} \frac{1}{( x + 1 ) ^{2}} d x

f (t) = 3 t