derivative of (-16x^2+1^2)

解答

\frac{d}{d x} ((- 16 x^{2} + 1)^{2})

- 64 x (- 16 x^{2} + 1)

求解步骤

\frac{d}{d x} ((- 16 x^{2} + 1)^{2})

使用连锁律:

2 (- 16 x^{2} + 1) \frac{d}{d x} (- 16 x^{2} + 1)

= 2 (- 16 x^{2} + 1) \frac{d}{d x} (- 16 x^{2} + 1)

\frac{d}{d x} (- 16 x^{2} + 1) = - 32 x

= 2 (- 16 x^{2} + 1) (- 32 x)

化简

= - 64 x (- 16 x^{2} + 1)

\int_{2}^{5} \frac{5}{x ^{2} - 1} d x

x \to 5 - lim (\frac{x ^{5}}{( x - 5 )})

d er i v a t i v e \frac{2 x ^{2} + 8 x + 2}{x}

\int \frac{cos ( x ) - tan ( x )}{cos ^{2} ( x )} d x

d er i v a t i v e 4 x