derivative of 1/((x+3^2))

解答

\frac{d}{d x} (\frac{1}{( x + 3 ) ^{2}})

- \frac{2}{( x + 3 ) ^{3}}

求解步骤

\frac{d}{d x} (\frac{1}{( x + 3 ) ^{2}})

使用指数法则:

\frac{1}{a} = a^{- 1}

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

使用连锁律:

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

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

\frac{d}{d x} (x + 3) = 1

= - \frac{2}{( x + 3 ) ^{3}} \cdot 1

化简

= - \frac{2}{( x + 3 ) ^{3}}

d er i v a t i v e f (x) = lo g_{\frac{3}{2}} (x) + 2

\int \frac{( ln ( x ) ) ^{38}}{x} d x

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

\int \frac{36 + ( ln ( 2 x ) ) ^{2}}{x} d x