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Beliebt Rechnen >

derivative of 84x^6+12x^3-24x^2

Lösung

\frac{d}{d x} (84 x^{6} + 12 x^{3} - 24 x^{2})

Lösung

504 x^{5} + 36 x^{2} - 48 x

Schritte zur Lösung

\frac{d}{d x} (84 x^{6} + 12 x^{3} - 24 x^{2})

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (84 x^{6}) + \frac{d}{d x} (12 x^{3}) - \frac{d}{d x} (24 x^{2})

\frac{d}{d x} (84 x^{6}) = 504 x^{5}

\frac{d}{d x} (12 x^{3}) = 36 x^{2}

\frac{d}{d x} (24 x^{2}) = 48 x

= 504 x^{5} + 36 x^{2} - 48 x

Graph

Beliebte Beispiele

integral of (1-2x)^4

\int (1 - 2 x)^{4} d x

integral of 1/((4+9x^2))

\int \frac{1}{( 4 + 9 x ^{2} )} d x

x^2y^{''}+3xy^'-4y=0

x^{2} y^{^{''}} + 3 x y^{^{'}} - 4 y = 0

integral of ((x^2+x-6))/((x^2-4x+3))

\int \frac{( x ^{2} + x - 6 )}{( x ^{2} - 4 x + 3 )} d x

tangent f(x)=((x+1)/(x-1))^3,\at x=2

t an g e n t f (x) = (\frac{x + 1}{x - 1})^{3}, at x = 2