derivative of 7/10 x^2+4x^3

Lösung

\frac{d}{d x} (\frac{7}{10} x^{2} + 4 x^{3})

\frac{7 x}{5} + 12 x^{2}

Schritte zur Lösung

\frac{d}{d x} (\frac{7}{10} x^{2} + 4 x^{3})

Vereinfache

\frac{7}{10} x^{2} + 4 x^{3} : \frac{7 x ^{2}}{10} + 4 x^{3}

= \frac{d}{d x} (\frac{7 x ^{2}}{10} + 4 x^{3})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{7 x ^{2}}{10}) + \frac{d}{d x} (4 x^{3})

\frac{d}{d x} (\frac{7 x ^{2}}{10}) = \frac{7 x}{5}

\frac{d}{d x} (4 x^{3}) = 12 x^{2}

= \frac{7 x}{5} + 12 x^{2}

\frac{d y}{d x} - y = - \frac{x}{2}

x \to 0 lim (1 - \frac{1}{x ^{2}})

x \to 3 lim (\frac{( x ^{2} - 2 x - 3 )}{x ^{2} - 9})

y^{^{'}} (x^{2} + 2) + 4 x (y^{2} + 2 y + 1) = 0

d er i v a t i v e (1 + cos (5 t))^{- 4}