derivative of-3x^5+5x^3

解答

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

- 15 x^{4} + 15 x^{2}

求解步骤

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

使用微分加减法定则:

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

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

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

\frac{d}{d x} (5 x^{3}) = 15 x^{2}

= - 15 x^{4} + 15 x^{2}

d er i v a t i v e y = t^{3} - 2 t + 4

x \to 0 lim (\frac{( 2 + x ) ^{2} + 4}{x})

d er i v a t i v e \frac{1}{x ( 5 + ln ( x ) )}

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

t an g e n t 2 x^{3}