展开 dx(x^4+2x^3-7)

解答

展开

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

x^{4} d x + 2 x^{3} d x - 7 d x

求解步骤

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

打开括号

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

使用加减运算法则

+ (- a) = - a

= x^{4} d x + 2 x^{3} d x - 7 d x

\frac{\partial}{\partial r} ((x) (r + 3 s - t))

e x p an d (10 x y^{3} + 12 x^{3} + 6) d x + (15 x^{2} y - 5) y d y

e x p an d \frac{4 s}{( x + 2 ) ( x - 1 )}

e x p an d e^{- 2 t} (- sin (4) 4) + cos (4 t) (e^{- 2 t} - 2 t)

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