derivative of (x+2^2+(10-3x)^2)

Lösung

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

20 x - 56

Schritte zur Lösung

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

Vereinfache

(x + 2)^{2} + (10 - 3 x)^{2} : 10 x^{2} - 56 x + 104

= \frac{d}{d x} (10 x^{2} - 56 x + 104)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (10 x^{2}) - \frac{d}{d x} (56 x) + \frac{d}{d x} (104)

\frac{d}{d x} (10 x^{2}) = 20 x

\frac{d}{d x} (56 x) = 56

\frac{d}{d x} (104) = 0

= 20 x - 56 + 0

Vereinfache

= 20 x - 56

n = 1 \sum \infty 1 + \frac{1}{n + 1}

x \to 0 lim (\frac{( 2 - x ) ^{3} - 8}{x})

in v erse l a pl a ce \frac{5}{s ^{2} + 49}

y (1 + x^{2}) y^{^{'}} - x (9 + y^{2}) = 0

\int cos (x) - cos^{4} (x) d x