limit as h approaches 0 of ((2-h)^3-8)/h

解答

h \to 0 lim (\frac{( 2 - h ) ^{3} - 8}{h})

- 12

求解步骤

h \to 0 lim (\frac{( 2 - h ) ^{3} - 8}{h})

化简

\frac{( 2 - h ) ^{3} - 8}{h} : - h^{2} + 6 h - 12

= h \to 0 lim (- h^{2} + 6 h - 12)

代入值

h = 0

= - 0^{2} + 6 \cdot 0 - 12

化简

= - 12

\int sin (y^{3}) d y

\frac{\partial}{\partial x} (sin (π (3 x - 5 y)))

t a y l or \frac{1}{1 + \frac{1}{5} x ^{3}}

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

d er i v a t i v e \frac{( ( 2 x + 5 ) ^{7} )}{14}