derivative of (-3x^5+1^3)

解答

\frac{d}{d x} ((- 3 x^{5} + 1)^{3})

- 45 x^{4} (- 3 x^{5} + 1)^{2}

求解步骤

\frac{d}{d x} ((- 3 x^{5} + 1)^{3})

使用连锁律:

3 (- 3 x^{5} + 1)^{2} \frac{d}{d x} (- 3 x^{5} + 1)

= 3 (- 3 x^{5} + 1)^{2} \frac{d}{d x} (- 3 x^{5} + 1)

\frac{d}{d x} (- 3 x^{5} + 1) = - 15 x^{4}

= 3 (- 3 x^{5} + 1)^{2} (- 15 x^{4})

化简

= - 45 x^{4} (- 3 x^{5} + 1)^{2}

\int \frac{x}{( sin ( x ^{2} ) ) ^{2}} d x

\frac{\partial}{\partial x} (y + x cos (t))

\frac{\partial}{\partial x} (tan (2 x + y))

d er i v a t i v e y = \frac{x - 6}{x + 6}

\frac{d}{d x} (\frac{8}{x ^{5}})