derivative f(x)=(3x+5)^3

解答

导数

f (x) = (3 x + 5)^{3}

9 (3 x + 5)^{2}

求解步骤

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

使用连锁律:

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

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

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

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

化简

= 9 (3 x + 5)^{2}

d er i v a t i v e f (x) = \frac{5}{x + 2}

a re a y = 4 x^{2}, y = x^{2} + 1

y^{^{'}} + 2 x y = x y^{2}

\frac{\partial}{\partial x} (3 e^{x} sin (y))

t an g e n t f (x) = x - 2, at x = 9