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Beliebt Rechnen >

derivative of (x^2+5^5)

Lösung

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

Lösung

10 x (x^{2} + 5)^{4}

Schritte zur Lösung

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

Wende die Kettenregel an:

5 (x^{2} + 5)^{4} \frac{d}{d x} (x^{2} + 5)

= 5 (x^{2} + 5)^{4} \frac{d}{d x} (x^{2} + 5)

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

= 5 (x^{2} + 5)^{4} \cdot 2 x

Vereinfache

= 10 x (x^{2} + 5)^{4}

Graph

Beliebte Beispiele

derivative of (x^2+6/x)

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

derivative of (x^2+4x/((3x^3+2)^4))

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

integral of (x+9)ln(x)

\int (x + 9) ln (x) d x

derivative f(x)=(2x-5)^4(x^2+x+1)^5

d er i v a t i v e f (x) = (2 x - 5)^{4} (x^{2} + x + 1)^{5}

integral of (t^2+2t+1)^4

\int (t^{2} + 2 t + 1)^{4} d t