derivative y=x^8+7x^6-5x+4

Lösung

ableitung von

y = x^{8} + 7 x^{6} - 5 x + 4

8 x^{7} + 42 x^{5} - 5

Schritte zur Lösung

\frac{d}{d x} (x^{8} + 7 x^{6} - 5 x + 4)

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (x^{8}) + \frac{d}{d x} (7 x^{6}) - \frac{d}{d x} (5 x) + \frac{d}{d x} (4)

\frac{d}{d x} (x^{8}) = 8 x^{7}

\frac{d}{d x} (7 x^{6}) = 42 x^{5}

\frac{d}{d x} (5 x) = 5

\frac{d}{d x} (4) = 0

= 8 x^{7} + 42 x^{5} - 5 + 0

Vereinfache

= 8 x^{7} + 42 x^{5} - 5

\frac{d}{d x} (sin^{2} (x - 1))

\int (2 x^{2} - 1) (2 x^{3} - 3 x + 9)^{\frac{1}{3}} d x

\frac{( x ^{2} )}{y ^{2} - 5} y^{^{'}} = \frac{1}{2 y}

\int_{6}^{7} t^{2} d t

d er i v a t i v e f (x) = \frac{0.3 ( 9 ^{x} )}{x ^{3}}