derivative of 5x^3-3x^5

Lösung

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

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

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

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

t \to - 2 lim ((t + 4)^{2})

x \to - 1 lim (5 x^{2})

x y + y^{^{'}} = 64 x

t an g e n t f (x) = x^{2} + x, at x = 1

\int 7 cos (x) - \frac{4}{1 - x ^{2}} d x