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Beliebt Rechnen >

derivative of (7x+8(8x-9))

Lösung

\frac{d}{d x} ((7 x + 8) (8 x - 9))

Lösung

112 x + 1

Schritte zur Lösung

\frac{d}{d x} ((7 x + 8) (8 x - 9))

Wende die Produktregel an:

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

f = 7 x + 8, g = 8 x - 9

= \frac{d}{d x} (7 x + 8) (8 x - 9) + \frac{d}{d x} (8 x - 9) (7 x + 8)

\frac{d}{d x} (7 x + 8) = 7

\frac{d}{d x} (8 x - 9) = 8

= 7 (8 x - 9) + 8 (7 x + 8)

Vereinfache

7 (8 x - 9) + 8 (7 x + 8) : 112 x + 1

= 112 x + 1

Graph

Beliebte Beispiele

integral of (sqrt(x^2-225))/x

\int \frac{x ^{2} - 225}{x} d x

y^'=2xsqrt(1-y^2)

y^{^{'}} = 2 x 1 - y^{2}

derivative of (Ax+Be^x)

\frac{d}{d x} ((A x + B) e^{x})

y^'+y=e^{9t},y(0)=-1

y^{^{'}} + y = e^{9 t}, y (0) = - 1

limit as x approaches 2 of (x+3)/(x+2)

x \to 2 lim (\frac{x + 3}{x + 2})