derivative 3x^2-7x^3+x^4-5-3x

解答

导数

3 x^{2} - 7 x^{3} + x^{4} - 5 - 3 x

4 x^{3} - 21 x^{2} + 6 x - 3

求解步骤

\frac{d}{d x} (3 x^{2} - 7 x^{3} + x^{4} - 5 - 3 x)

使用微分加减法定则:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (3 x^{2}) - \frac{d}{d x} (7 x^{3}) + \frac{d}{d x} (x^{4}) - \frac{d}{d x} (5) - \frac{d}{d x} (3 x)

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

\frac{d}{d x} (7 x^{3}) = 21 x^{2}

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

\frac{d}{d x} (5) = 0

\frac{d}{d x} (3 x) = 3

= 6 x - 21 x^{2} + 4 x^{3} - 0 - 3

化简

= 4 x^{3} - 21 x^{2} + 6 x - 3

y^{^{'}} = \frac{( t ^{2} + 3 y ^{2} )}{2 t y}

n = 0 \sum \infty (- \frac{7}{10})^{n}

a re a 2 y = 4 x - x^{2}, 2 y = x - 4

d er i v a t i v e f (x) = x^{2} + 4 x - 3

\int (cos^{2} (θ)) d θ