derivative of (x^2-x^{7/3}^4)

Lösung

\frac{d}{d x} ((x^{2} - x^{\frac{7}{3}})^{4})

4 (x^{2} - x^{\frac{7}{3}})^{3} (2 x - \frac{7 x ^{\frac{4}{3}}}{3})

Schritte zur Lösung

\frac{d}{d x} ((x^{2} - x^{\frac{7}{3}})^{4})

Wende die Kettenregel an:

4 (x^{2} - x^{\frac{7}{3}})^{3} \frac{d}{d x} (x^{2} - x^{\frac{7}{3}})

= 4 (x^{2} - x^{\frac{7}{3}})^{3} \frac{d}{d x} (x^{2} - x^{\frac{7}{3}})

\frac{d}{d x} (x^{2} - x^{\frac{7}{3}}) = 2 x - \frac{7 x ^{\frac{4}{3}}}{3}

= 4 (x^{2} - x^{\frac{7}{3}})^{3} (2 x - \frac{7 x ^{\frac{4}{3}}}{3})

10 y^{^{'}} + 5 y = 8 e^{6 x}, y (0) = 9

x \to 3 lim (\frac{∣ x ∣ - x}{3 - x})

y^{^{''}} + (y^{^{'}})^{2} + 1 = 0

\int_{- 40}^{0} \frac{1}{9 - x} d x

a re a \frac{1}{8} x, 8 x, \frac{2}{x}