derivative of (7x+sqrt(x^2+3)^6)

Lösung

\frac{d}{d x} ((7 x + x^{2} + 3)^{6})

6 (7 x + x^{2} + 3)^{5} (7 + \frac{x}{x ^{2} + 3})

Schritte zur Lösung

\frac{d}{d x} ((7 x + x^{2} + 3)^{6})

Wende die Kettenregel an:

6 (7 x + x^{2} + 3)^{5} \frac{d}{d x} (7 x + x^{2} + 3)

= 6 (7 x + x^{2} + 3)^{5} \frac{d}{d x} (7 x + x^{2} + 3)

\frac{d}{d x} (7 x + x^{2} + 3) = 7 + \frac{x}{x ^{2} + 3}

= 6 (7 x + x^{2} + 3)^{5} (7 + \frac{x}{x ^{2} + 3})

p a r i t y \frac{sin ^{5} ( e ^{2 x} )}{cos ( 7 ^{6 x} )}

\int 2 x - 3 x^{2} d x

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\frac{\partial}{\partial x} (x^{4} - y x^{2} + 2 y^{3})