derivative f(x)=(8x^3+3x^2)^3

解答

导数

f (x) = (8 x^{3} + 3 x^{2})^{3}

3 (8 x^{3} + 3 x^{2})^{2} (24 x^{2} + 6 x)

求解步骤

\frac{d}{d x} ((8 x^{3} + 3 x^{2})^{3})

使用连锁律:

3 (8 x^{3} + 3 x^{2})^{2} \frac{d}{d x} (8 x^{3} + 3 x^{2})

= 3 (8 x^{3} + 3 x^{2})^{2} \frac{d}{d x} (8 x^{3} + 3 x^{2})

\frac{d}{d x} (8 x^{3} + 3 x^{2}) = 24 x^{2} + 6 x

= 3 (8 x^{3} + 3 x^{2})^{2} (24 x^{2} + 6 x)

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

x \to \infty lim (ln (5 x))

\int x x - 27 d x

\frac{d}{d x} (\frac{3}{x + 8})

in v erse l a pl a ce \frac{3 x}{( x - 1 ) ^{4}}