(\partial)/(\partial z)(x^{yz})

Lösung

\frac{\partial}{\partial z} (x^{yz})

y x^{yz} ln (x)

Schritte zur Lösung

\frac{\partial}{\partial z} (x^{yz})

Behandle

x, y

als Konstanten

Wende Exponentenregel an:

a^{b} = e^{b l n (a)}

x^{yz} = e^{yz l n (x)}

= \frac{\partial}{\partial z} (e^{yz l n (x)})

Wende die Kettenregel an:

e^{yz l n (x)} \frac{\partial}{\partial z} (yz ln (x))

= e^{yz l n (x)} \frac{\partial}{\partial z} (yz ln (x))

\frac{\partial}{\partial z} (yz ln (x)) = y ln (x)

= e^{yz l n (x)} y ln (x)

e^{yz l n (x)} = x^{yz}

= y x^{yz} ln (x)

\frac{d}{d x} (11 arccot (x) + 11 arccot (\frac{1}{x}))

d er i v a t i v e \frac{- 5}{( 2 x ^{3} + 7 ) ^{2}}

s l o p e (2, 7), (- 5, 2)

y^{^{''}} - 9 y^{^{'}} = 0

\int sin (2 x) 1 + cos^{2} (x) d x