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Beliebt Rechnen >

(\partial)/(\partial x)(13.12+0.6215x-11.37y^{0.16}+0.3965xy^{0.16})

Lösung

\frac{\partial}{\partial x} (13.12 + 0.6215 x - 11.37 y^{0.16} + 0.3965 x y^{0.16})

Lösung

0.3965 y^{0.16} + 0.6215

Schritte zur Lösung

\frac{\partial}{\partial x} (13.12 + 0.6215 x - 11.37 y^{0.16} + 0.3965 x y^{0.16})

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (13.12) + \frac{\partial}{\partial x} (0.6215 x) - \frac{\partial}{\partial x} (11.37 y^{0.16}) + \frac{\partial}{\partial x} (0.3965 x y^{0.16})

\frac{\partial}{\partial x} (13.12) = 0

\frac{\partial}{\partial x} (0.6215 x) = 0.6215

\frac{\partial}{\partial x} (11.37 y^{0.16}) = 0

\frac{\partial}{\partial x} (0.3965 x y^{0.16}) = 0.3965 y^{0.16}

= 0 + 0.6215 - 0 + 0.3965 y^{0.16}

Vereinfache

= 0.3965 y^{0.16} + 0.6215

Beliebte Beispiele

tangent f(x)=sin(x)cos(x)

t an g e n t f (x) = sin (x) cos (x)

integral of x/((x^2+1)(x^2+4x+4))

\int \frac{x}{( x ^{2} + 1 ) ( x ^{2} + 4 x + 4 )} d x

limit as x approaches 0 of 8xcsc(5x)

x \to 0 lim (8 x csc (5 x))

11(t+1)(dy)/(dt)-8y=24t

11 (t + 1) \frac{d y}{d t} - 8 y = 24 t

y^{^{'}} + e^{x} y = e^{x}