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Beliebt Rechnen >

d/(da)(5a^9b^3+15a^6b^7)

Lösung

\frac{d}{d a} (5 a^{9} b^{3} + 15 a^{6} b^{7})

Lösung

45 b^{3} a^{8} + 90 b^{7} a^{5}

Schritte zur Lösung

\frac{d}{d a} (5 a^{9} b^{3} + 15 a^{6} b^{7})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d a} (5 a^{9} b^{3}) + \frac{d}{d a} (15 a^{6} b^{7})

\frac{d}{d a} (5 a^{9} b^{3}) = 45 b^{3} a^{8}

\frac{d}{d a} (15 a^{6} b^{7}) = 90 b^{7} a^{5}

= 45 b^{3} a^{8} + 90 b^{7} a^{5}

Graph

Beliebte Beispiele

integral of sec^6(x)tan^3(x)

\int sec^{6} (x) tan^{3} (x) d x

integral of x/(2+x)

\int \frac{x}{2 + x} d x

derivative of (7x/(2^x))

\frac{d}{d x} (\frac{7 x}{2 ^{x}})

(dy)/(dx)=8x^7-2sec^2(x)

\frac{d y}{d x} = 8 x^{7} - 2 sec^{2} (x)

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

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