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Beliebt Rechnen >

derivative of x/2-tan(x)

Lösung

\frac{d}{d x} (\frac{x}{2} - tan (x))

Lösung

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

Schritte zur Lösung

\frac{d}{d x} (\frac{x}{2} - tan (x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{x}{2}) - \frac{d}{d x} (tan (x))

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

\frac{d}{d x} (tan (x)) = sec^{2} (x)

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

Graph

Beliebte Beispiele

integral of sec(x)tan^3(x)

\int sec (x) tan^{3} (x) d x

limit as x approaches 3 of-x+2

x \to 3 lim (- x + 2)

integral of (x^5)/((x^2+4)^2)

\int \frac{x ^{5}}{( x ^{2} + 4 ) ^{2}} d x

derivative of 6x^3-4x^2+5x

\frac{d}{d x} (6 x^{3} - 4 x^{2} + 5 x)

tangent f(x)=(9x)/(x+4),\at x=8

t an g e n t f (x) = \frac{9 x}{x + 4}, at x = 8