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Beliebt Rechnen >

derivative of (x-6(5x+1))

Lösung

\frac{d}{d x} ((x - 6) (5 x + 1))

Lösung

10 x - 29

Schritte zur Lösung

\frac{d}{d x} ((x - 6) (5 x + 1))

Wende die Produktregel an:

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

f = x - 6, g = 5 x + 1

= \frac{d}{d x} (x - 6) (5 x + 1) + \frac{d}{d x} (5 x + 1) (x - 6)

\frac{d}{d x} (x - 6) = 1

\frac{d}{d x} (5 x + 1) = 5

= 1 \cdot (5 x + 1) + 5 (x - 6)

Vereinfache

1 \cdot (5 x + 1) + 5 (x - 6) : 10 x - 29

= 10 x - 29

Graph

Beliebte Beispiele

(\partial ^2)/(\partial y^2)((xy)/(x-y))

\frac{\partial ^{2}}{\partial y ^{2}} (\frac{x y}{x - y})

integral of (3+x)/(1-x^2)

\int \frac{3 + x}{1 - x ^{2}} d x

y = (5 - x^{2})^{5}

tangent f(x)= 1/(x^3),\at x=1

t an g e n t f (x) = \frac{1}{x ^{3}}, at x = 1

(dy}{dx}+y=\frac{e^x)/y

\frac{d y}{d x} + y = \frac{e ^{x}}{y}