derivative of 6(2x-9^5)

解答

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

60 (2 x - 9)^{4}

求解步骤

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

将常数提出:

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

= 6 \frac{d}{d x} ((2 x - 9)^{5})

使用连锁律:

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

= 5 (2 x - 9)^{4} \frac{d}{d x} (2 x - 9)

\frac{d}{d x} (2 x - 9) = 2

= 6 \cdot 5 (2 x - 9)^{4} \cdot 2

化简

= 60 (2 x - 9)^{4}

(5 x + y e^{(\frac{y}{x})}) d x - x e^{\frac{y}{x}} d y = 0

\frac{\partial}{\partial x} (ln (cos (x y) + 2))

\int tan^{4} (x) + tan^{6} (x) d x

h \to 0 lim (\frac{1}{5 - h})

in v erse l a pl a ce \frac{e ^{- 2 s}}{s ( s - 1 )}