derivative of (5x^6+2x^3^4)

解答

\frac{d}{d x} ((5 x^{6} + 2 x^{3})^{4})

4 (5 x^{6} + 2 x^{3})^{3} (30 x^{5} + 6 x^{2})

求解步骤

\frac{d}{d x} ((5 x^{6} + 2 x^{3})^{4})

使用连锁律:

4 (5 x^{6} + 2 x^{3})^{3} \frac{d}{d x} (5 x^{6} + 2 x^{3})

= 4 (5 x^{6} + 2 x^{3})^{3} \frac{d}{d x} (5 x^{6} + 2 x^{3})

\frac{d}{d x} (5 x^{6} + 2 x^{3}) = 30 x^{5} + 6 x^{2}

= 4 (5 x^{6} + 2 x^{3})^{3} (30 x^{5} + 6 x^{2})

\int_{0}^{l n (3)} \frac{4 e ^{x}}{1 + e ^{2 x}} d x

d er i v a t i v e x (9^{- 2 x})

d er i v a t i v e \frac{cos ( x )}{2 + sin ( x )}

x \to 0 lim (\frac{9 sin ( x )}{x})

\frac{\partial}{\partial x} (ln (x^{0.6} y^{0.4}))