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Beliebt Rechnen >

derivative of c{f}(x+{f}(x)(cx))

Lösung

\frac{d}{d x} (c f (x) + f (x) (c x))

Lösung

c \frac{d}{d x} (f (x)) + c (x \frac{d}{d x} (f (x)) + f (x))

Schritte zur Lösung

\frac{d}{d x} (c f (x) + f (x) (c x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (c f (x)) + \frac{d}{d x} (f (x) c x)

\frac{d}{d x} (c f (x)) = c \frac{d}{d x} (f (x))

\frac{d}{d x} (f (x) c x) = c (x \frac{d}{d x} (f (x)) + f (x))

= c \frac{d}{d x} (f (x)) + c (x \frac{d}{d x} (f (x)) + f (x))

Beliebte Beispiele

derivative of 1/2 ln(x^2)

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

integral of 1/(sin(x)-cos(x))

\int \frac{1}{sin ( x ) - cos ( x )} d x

tangent f(x)=2x(x^2-4x+5)^6,\at x=2

t an g e n t f (x) = 2 x (x^{2} - 4 x + 5)^{6}, at x = 2

\frac{d}{d X} (X^{2})

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

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