derivative of (x^3+2x^{37})

Lösung

\frac{d}{d x} ((x^{3} + 2 x)^{37})

37 (x^{3} + 2 x)^{36} (3 x^{2} + 2)

Schritte zur Lösung

\frac{d}{d x} ((x^{3} + 2 x)^{37})

Wende die Kettenregel an:

37 (x^{3} + 2 x)^{36} \frac{d}{d x} (x^{3} + 2 x)

= 37 (x^{3} + 2 x)^{36} \frac{d}{d x} (x^{3} + 2 x)

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

= 37 (x^{3} + 2 x)^{36} (3 x^{2} + 2)

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

\frac{d}{d x} (- \frac{10 x}{( x ^{2} - 9 ) ^{2}})

\frac{d}{d x} (3 x^{3} - 9 x)

t a y l or sin (cos (x))

x \to 0 - lim (e^{\frac{9}{x}})