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Beliebt Rechnen >

derivative of 4x^2-x+sqrt(x)

Lösung

\frac{d}{d x} (4 x^{2} - x + x)

Lösung

8 x - 1 + \frac{1}{2 x}

Schritte zur Lösung

\frac{d}{d x} (4 x^{2} - x + x)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (4 x^{2}) - \frac{d x}{d x} + \frac{d}{d x} (x)

\frac{d}{d x} (4 x^{2}) = 8 x

\frac{d x}{d x} = 1

\frac{d}{d x} (x) = \frac{1}{2 x}

= 8 x - 1 + \frac{1}{2 x}

Graph

Beliebte Beispiele

d/(dt)(ln(sec(t)))

\frac{d}{d t} (ln (sec (t)))

(d^2)/(dx^2)(x^2cos(x))

\frac{d ^{2}}{d x ^{2}} (x^{2} cos (x))

integral from 1 to 5 of 1/(x-2)

\int_{1}^{5} \frac{1}{x - 2} d x

sum from n=1 to infinity of 1/(n^{0.5)}

n = 1 \sum \infty \frac{1}{n ^{0.5}}

d/(dt)(4e^{-3t})

\frac{d}{d t} (4 e^{- 3 t})