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Beliebt Rechnen >

derivative of {f}(x(x^2))

Lösung

\frac{d}{d x} (f (x) (x^{2}))

Lösung

\frac{d}{d x} (f (x)) x^{2} + 2 x f (x)

Schritte zur Lösung

\frac{d}{d x} (f (x) (x^{2}))

Wende die Produktregel an:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = f (x), g = x^{2}

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

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

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

Beliebte Beispiele

integral of (5-50x)/(sqrt(1-25x^2))

\int \frac{5 - 50 x}{1 - 25 x ^{2}} d x

sum from n=0 to infinity of 2*6^n

n = 0 \sum \infty 2 \cdot 6^{n}

(dy)/(dx)=((x-4))/(y+5)

\frac{d y}{d x} = \frac{( x - 4 )}{y + 5}

derivative (sqrt(t))/(2t+3)

d er i v a t i v e \frac{t}{2 t + 3}

integral of cos^3(4θ)sin(4θ)

\int cos^{3} (4 θ) sin (4 θ) d θ