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Beliebt Rechnen >

derivative of arctan(x-pi/4)

Lösung

\frac{d}{d x} (arctan (x) - \frac{π}{4})

Lösung

\frac{1}{x ^{2} + 1}

Schritte zur Lösung

\frac{d}{d x} (arctan (x) - \frac{π}{4})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (arctan (x)) - \frac{d}{d x} (\frac{π}{4})

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

\frac{d}{d x} (\frac{π}{4}) = 0

= \frac{1}{x ^{2} + 1} - 0

Vereinfache

= \frac{1}{x ^{2} + 1}

Graph

Beliebte Beispiele

tangent f(x)=3sin(x)

t an g e n t f (x) = 3 sin (x)

inverselaplace (10)/(2s+1)

in v erse l a pl a ce \frac{10}{2 s + 1}

integral of ((x+5))/((x^2+16))

\int \frac{( x + 5 )}{( x ^{2} + 16 )} d x

integral of 1/(sqrt(x^3))

\int \frac{1}{x ^{3}} d x

x^2y^{''}-3xy^'+3y=0

x^{2} y^{^{''}} - 3 x y^{^{'}} + 3 y = 0