derivative y=(5x+14)^5

解答

导数

y = (5 x + 14)^{5}

25 (5 x + 14)^{4}

求解步骤

\frac{d}{d x} ((5 x + 14)^{5})

使用连锁律:

5 (5 x + 14)^{4} \frac{d}{d x} (5 x + 14)

= 5 (5 x + 14)^{4} \frac{d}{d x} (5 x + 14)

\frac{d}{d x} (5 x + 14) = 5

= 5 (5 x + 14)^{4} \cdot 5

化简

= 25 (5 x + 14)^{4}

(2 + y) d x - 3 (3 - x) d y = 0

\int 18 (200 + t)^{2} d t

x \to - 5 lim (- 9 x^{2} - 6 x - 9)

\frac{d}{d x} (- 5 x)

d er i v a t i v e g (x) = (x + 2) e^{- x}