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Beliebt Rechnen >

derivative of (sqrt(5x-1)+2^6)

Lösung

\frac{d}{d x} ((5 x - 1 + 2)^{6})

Lösung

\frac{15 ( 5 x - 1 + 2 ) ^{5}}{5 x - 1}

Schritte zur Lösung

\frac{d}{d x} ((5 x - 1 + 2)^{6})

Wende die Kettenregel an:

6 (5 x - 1 + 2)^{5} \frac{d}{d x} (5 x - 1 + 2)

= 6 (5 x - 1 + 2)^{5} \frac{d}{d x} (5 x - 1 + 2)

\frac{d}{d x} (5 x - 1 + 2) = \frac{5}{2 5 x - 1}

= 6 (5 x - 1 + 2)^{5} \frac{5}{2 5 x - 1}

Vereinfache

6 (5 x - 1 + 2)^{5} \frac{5}{2 5 x - 1} : \frac{15 ( 5 x - 1 + 2 ) ^{5}}{5 x - 1}

= \frac{15 ( 5 x - 1 + 2 ) ^{5}}{5 x - 1}

Graph

Beliebte Beispiele

integral from-2 to 3 of x^2+4

\int_{- 2}^{3} x^{2} + 4 d x

integral of (e 1/x)/(x^2)

\int \frac{e \frac{1}{x}}{x ^{2}} d x

y^{^{'}} + 2 x y = 0

integral of sec^4(1)

\int sec^{4} (1) d x

tangent f(x)= 4/(1+x^2)

t an g e n t f (x) = \frac{4}{1 + x ^{2}}