derivative (2x+3)^5

解答

导数

(2 x + 3)^{5}

10 (2 x + 3)^{4}

求解步骤

\frac{d}{d x} ((2 x + 3)^{5})

使用连锁律:

5 (2 x + 3)^{4} \frac{d}{d x} (2 x + 3)

= 5 (2 x + 3)^{4} \frac{d}{d x} (2 x + 3)

\frac{d}{d x} (2 x + 3) = 2

= 5 (2 x + 3)^{4} \cdot 2

化简

= 10 (2 x + 3)^{4}

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

d er i v a t i v e \frac{1 - t ^{4}}{4}

d er i v a t i v e \frac{1}{2 ^{x}}

\frac{d}{d x} (a^{x} + 2 x + 3)

d er i v a t i v e x^{\frac{1}{2}} lo g_{10} (x)