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Beliebt Rechnen >

derivative f(x)=sqrt(7x)-sqrt(2x)

Lösung

ableitung von

f (x) = 7 x - 2 x

Lösung

\frac{7}{2 x} - \frac{1}{2 x}

Schritte zur Lösung

\frac{d}{d x} (7 x - 2 x)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (7 x) - \frac{d}{d x} (2 x)

\frac{d}{d x} (7 x) = \frac{7}{2 x}

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

= \frac{7}{2 x} - \frac{1}{2 x}

Graph

Beliebte Beispiele

integral of 1/((x-4)^5)

\int \frac{1}{( x - 4 ) ^{5}} d x

derivative f(x)= 1/(sqrt(x^2+2x-5))

d er i v a t i v e f (x) = \frac{1}{x ^{2} + 2 x - 5}

integral from 0 to 1 of 1/((1+x^2)^2)

\int_{0}^{1} \frac{1}{( 1 + x ^{2} ) ^{2}} d x

derivative f(x)=ln(x^2-18x)

d er i v a t i v e f (x) = ln (x^{2} - 18 x)

derivative of (x^4)

\frac{d}{d x} ((x)^{4})