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Beliebt Rechnen >

derivative of (2x+3(2x-3))

Lösung

\frac{d}{d x} ((2 x + 3) (2 x - 3))

Lösung

8 x

Schritte zur Lösung

\frac{d}{d x} ((2 x + 3) (2 x - 3))

Wende die Produktregel an:

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

f = 2 x + 3, g = 2 x - 3

= \frac{d}{d x} (2 x + 3) (2 x - 3) + \frac{d}{d x} (2 x - 3) (2 x + 3)

\frac{d}{d x} (2 x + 3) = 2

\frac{d}{d x} (2 x - 3) = 2

= 2 (2 x - 3) + 2 (2 x + 3)

Vereinfache

2 (2 x - 3) + 2 (2 x + 3) : 8 x

= 8 x

Graph

Beliebte Beispiele

derivative of-x^2+3x

\frac{d}{d x} (- x^{2} + 3 x)

limit as x approaches infinity of 1/(x^{4/3)}

x \to \infty lim (\frac{1}{x ^{\frac{4}{3}}})

d/(dy)(x/(y^2+x^2))

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

y^{''}-4y^'-5y=0,y(1)=0,y^'(1)=4

y^{^{''}} - 4 y^{^{'}} - 5 y = 0, y (1) = 0, y^{^{'}} (1) = 4

integral of (2+x)/(4x^2-4x-3)

\int \frac{2 + x}{4 x ^{2} - 4 x - 3} d x