derivative of 1+(3/2 x^{(1/2})^2)

Lösung

\frac{d}{d x} (1 + (\frac{3}{2} x^{(\frac{1}{2})})^{2})

\frac{9}{4}

Dezimale

2.25

Schritte zur Lösung

\frac{d}{d x} (1 + (\frac{3}{2} x^{(\frac{1}{2})})^{2})

Vereinfache

1 + (\frac{3}{2} x^{(\frac{1}{2})})^{2} : 1 + \frac{9 x}{4}

= \frac{d}{d x} (1 + \frac{9 x}{4})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (1) + \frac{d}{d x} (\frac{9 x}{4})

\frac{d}{d x} (1) = 0

\frac{d}{d x} (\frac{9 x}{4}) = \frac{9}{4}

= 0 + \frac{9}{4}

Vereinfache

= \frac{9}{4}

t an g e n t f (x) = 20 x - 16 x^{2}, at x = 3

\frac{\partial}{\partial x} (\frac{v}{2 u + v})

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

in v erse l a pl a ce \frac{5 s + 50.1}{( s + 5 ) ^{2} - 5}

k = 0 \sum \infty \frac{k - 1}{2 ^{k + 1}}