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Beliebt Rechnen >

derivative of ((x^2+3^5+x)^2)

Lösung

\frac{d}{d x} (((x^{2} + 3)^{5} + x)^{2})

Lösung

2 ((x^{2} + 3)^{5} + x) (10 x (x^{2} + 3)^{4} + 1)

Schritte zur Lösung

\frac{d}{d x} (((x^{2} + 3)^{5} + x)^{2})

Wende die Kettenregel an:

2 ((x^{2} + 3)^{5} + x) \frac{d}{d x} ((x^{2} + 3)^{5} + x)

= 2 ((x^{2} + 3)^{5} + x) \frac{d}{d x} ((x^{2} + 3)^{5} + x)

\frac{d}{d x} ((x^{2} + 3)^{5} + x) = 10 x (x^{2} + 3)^{4} + 1

= 2 ((x^{2} + 3)^{5} + x) (10 x (x^{2} + 3)^{4} + 1)

Graph

Beliebte Beispiele

derivative (e^x)/(8+e^x)

d er i v a t i v e \frac{e ^{x}}{8 + e ^{x}}

derivative of x+9/x

\frac{d}{d x} (x + \frac{9}{x})

tangent y=9+3x+6xe^x

t an g e n t y = 9 + 3 x + 6 x e^{x}

derivative of 6\sqrt[3]{x^2}

\frac{d}{d x} (6 3 x^{2})

limit as x approaches 1/8 of 1/x-x^{-1}

x \to \frac{1}{8} lim (\frac{1}{x} - x^{- 1})