derivative f(0.6)=3arcsin(x^4)

解答

导数

f (0.6) = 3 arcsin (x^{4})

\frac{12 x ^{3}}{1 - x ^{8}}

求解步骤

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

将常数提出:

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

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

使用连锁律:

\frac{1}{1 - ( x ^{4} ) ^{2}} \frac{d}{d x} (x^{4})

= \frac{1}{1 - ( x ^{4} ) ^{2}} \frac{d}{d x} (x^{4})

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

= 3 \cdot \frac{1}{1 - ( x ^{4} ) ^{2}} \cdot 4 x^{3}

化简

3 \cdot \frac{1}{1 - ( x ^{4} ) ^{2}} \cdot 4 x^{3} : \frac{12 x ^{3}}{1 - x ^{8}}

= \frac{12 x ^{3}}{1 - x ^{8}}

\frac{\partial}{\partial x} (\frac{3 x ^{2}}{y - 5})

\frac{\partial}{\partial z} (\frac{x + y}{z})

t a y l or ln (1 - e^{- x})

\frac{d}{d x} (4 x^{2} + 3 x - 7)

\int \frac{( x ^{3} )}{25 - x ^{2}} d x