(\partial)/(\partial x)(tan(ln(x*y)))

解答

\frac{\partial}{\partial x} (tan (ln (x \cdot y)))

\frac{sec ^{2} ( ln ( x y ) )}{x}

求解步骤

\frac{\partial}{\partial x} (tan (ln (x y)))

将

y

视为常数

使用连锁律:

sec^{2} (ln (x y)) \frac{\partial}{\partial x} (ln (x y))

= sec^{2} (ln (x y)) \frac{\partial}{\partial x} (ln (x y))

\frac{\partial}{\partial x} (ln (x y)) = \frac{1}{x}

= sec^{2} (ln (x y)) \frac{1}{x}

化简

sec^{2} (ln (x y)) \frac{1}{x} : \frac{sec ^{2} ( ln ( x y ) )}{x}

= \frac{sec ^{2} ( ln ( x y ) )}{x}

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

\int (1 + x)^{4} d x

\int - 2 x^{2} d x

\int_{\frac{7}{6}}^{6} \frac{1}{1 - x ^{2}} d x

d er i v a t i v e 9 x^{2} cos (x) cot (x)