derivative of (4x^3-7x^7)

解答

\frac{d}{d x} ((4 x^{3} - 7 x)^{7})

7 (4 x^{3} - 7 x)^{6} (12 x^{2} - 7)

求解步骤

\frac{d}{d x} ((4 x^{3} - 7 x)^{7})

使用连锁律:

7 (4 x^{3} - 7 x)^{6} \frac{d}{d x} (4 x^{3} - 7 x)

= 7 (4 x^{3} - 7 x)^{6} \frac{d}{d x} (4 x^{3} - 7 x)

\frac{d}{d x} (4 x^{3} - 7 x) = 12 x^{2} - 7

= 7 (4 x^{3} - 7 x)^{6} (12 x^{2} - 7)

\int x 2 x - x^{2} d x

\int (\frac{8 + 5 x}{1 + x ^{2}}) d x

\frac{d}{d x} (4 x^{4} + x^{3} - \frac{9 x ^{2}}{2} + 8 x)

t a y l or sin (π x), \frac{1}{2}

(cos^{2} (t))^{^{'}}