derivative y=(2x^2-3)^2

解答

导数

y = (2 x^{2} - 3)^{2}

8 x (2 x^{2} - 3)

求解步骤

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

使用连锁律:

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

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

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

= 2 (2 x^{2} - 3) \cdot 4 x

化简

= 8 x (2 x^{2} - 3)

\int_{1}^{9} 4 x d x

\int - 2 π cos^{4} (π x) sin^{5} (π x) d x

\int 5 x 2 x + 3 d x

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

x \to 2 lim (a x^{2} - 2 b x + 1)