(\partial)/(\partial x)(sqrt(17-4x^2-y^2))

解答

\frac{\partial}{\partial x} (17 - 4 x^{2} - y^{2})

- \frac{4 x}{17 - 4 x ^{2} - y ^{2}}

求解步骤

\frac{\partial}{\partial x} (17 - 4 x^{2} - y^{2})

将

y

视为常数

使用连锁律:

\frac{1}{2 17 - 4 x ^{2} - y ^{2}} \frac{\partial}{\partial x} (17 - 4 x^{2} - y^{2})

= \frac{1}{2 17 - 4 x ^{2} - y ^{2}} \frac{\partial}{\partial x} (17 - 4 x^{2} - y^{2})

\frac{\partial}{\partial x} (17 - 4 x^{2} - y^{2}) = - 8 x

= \frac{1}{2 17 - 4 x ^{2} - y ^{2}} (- 8 x)

化简

\frac{1}{2 17 - 4 x ^{2} - y ^{2}} (- 8 x) : - \frac{4 x}{17 - 4 x ^{2} - y ^{2}}

= - \frac{4 x}{17 - 4 x ^{2} - y ^{2}}

\frac{\partial}{\partial x} (\frac{y}{cos ( x )})

\frac{d}{d x} (\frac{4}{5} ln ((9 x^{2} - 6)^{7}))

\int_{2}^{4} \frac{( 2 x - 3 )}{6} d x

x \to 2 lim (x^{2} - x)

x \to \infty lim (\frac{7 ^{12} - 2176782336}{7 ^{11}})