(\partial)/(\partial x)(6y^9x^5-5y^8x^4)

Lösung

\frac{\partial}{\partial x} (6 y^{9} x^{5} - 5 y^{8} x^{4})

30 y^{9} x^{4} - 20 y^{8} x^{3}

Schritte zur Lösung

\frac{\partial}{\partial x} (6 y^{9} x^{5} - 5 y^{8} x^{4})

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (6 y^{9} x^{5}) - \frac{\partial}{\partial x} (5 y^{8} x^{4})

\frac{\partial}{\partial x} (6 y^{9} x^{5}) = 30 y^{9} x^{4}

\frac{\partial}{\partial x} (5 y^{8} x^{4}) = 20 y^{8} x^{3}

= 30 y^{9} x^{4} - 20 y^{8} x^{3}

y^{^{'}} = \frac{( e ^{(x - y)} )}{1 + e ^{x}}, y (1) = 0

\frac{d}{d t} (5 e^{t})

t an g e n t f (x) = x^{4} - 5 x^{2} + 4, at x = 1

d er i v a t i v e f (x) = x^{3} (x - 9)^{2}

\frac{d}{d x} (6 x^{5} - 15 x^{4} + 30 x^{2} - 30 x + 9)