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Beliebt Rechnen >

derivative of f(x(5x^2-4))

Lösung

\frac{d}{d x} (f (x) (5 x^{2} - 4))

Lösung

\frac{d}{d x} (f (x)) (5 x^{2} - 4) + 10 x f (x)

Schritte zur Lösung

\frac{d}{d x} (f (x) (5 x^{2} - 4))

Wende die Produktregel an:

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

f = f (x), g = 5 x^{2} - 4

= \frac{d}{d x} (f (x)) (5 x^{2} - 4) + \frac{d}{d x} (5 x^{2} - 4) f (x)

\frac{d}{d x} (5 x^{2} - 4) = 10 x

= \frac{d}{d x} (f (x)) (5 x^{2} - 4) + 10 x f (x)

Beliebte Beispiele

integral of (8e^{-1/x})/(x^2)

\int \frac{8 e ^{- \frac{1}{x}}}{x ^{2}} d x

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(d^2)/(dx^2)((-6-7t)^6)

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integral from 1 to 4 of sqrt(t)

\int_{1}^{4} t d t

y^{^{'}} = e^{y + 2 x}