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Beliebt Rechnen >

derivative (1/2)^x-x

Lösung

ableitung von

(\frac{1}{2})^{x} - x

Lösung

- ln (2) (\frac{1}{2})^{x} - 1

Schritte zur Lösung

\frac{d}{d x} ((\frac{1}{2})^{x} - x)

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} ((\frac{1}{2})^{x}) = - ln (2) (\frac{1}{2})^{x}

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

= - ln (2) (\frac{1}{2})^{x} - 1

Graph

Beliebte Beispiele

integral from-1 to 1 of 3/4 x^2(1-x^2)

\int_{- 1}^{1} \frac{3}{4} x^{2} (1 - x^{2}) d x

integral of-5tan^3(x)

\int - 5 tan^{3} (x) d x

vereinfachen f(3)

s im pl i f y f (3)

y^{''}+y=9e^{-4x},y(0)=0,y^'(0)=0

y^{^{''}} + y = 9 e^{- 4 x}, y (0) = 0, y^{^{'}} (0) = 0

derivative of sin(xos(x))

\frac{d}{d x} (sin (x) os (x))