derivative f(x)=(7x^6+8x^3)^4

Lösung

ableitung von

f (x) = (7 x^{6} + 8 x^{3})^{4}

4 (7 x^{6} + 8 x^{3})^{3} (42 x^{5} + 24 x^{2})

Schritte zur Lösung

\frac{d}{d x} ((7 x^{6} + 8 x^{3})^{4})

Wende die Kettenregel an:

4 (7 x^{6} + 8 x^{3})^{3} \frac{d}{d x} (7 x^{6} + 8 x^{3})

= 4 (7 x^{6} + 8 x^{3})^{3} \frac{d}{d x} (7 x^{6} + 8 x^{3})

\frac{d}{d x} (7 x^{6} + 8 x^{3}) = 42 x^{5} + 24 x^{2}

= 4 (7 x^{6} + 8 x^{3})^{3} (42 x^{5} + 24 x^{2})

4 y^{^{''}} - 4 y^{^{'}} - 3 y = 0, y (0) = 1, y^{^{'}} (0) = 5

x \to 0 + lim ((cot (x))^{s i n (x)})

x^{2} \frac{d y}{d x} - 2 x y = 3 y^{4}

\int \frac{5}{x} d x

\frac{d}{d x} (e^{(- x^{\frac{1}{2}} + \frac{1}{5} x^{- \frac{3}{5}})})