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Beliebt Rechnen >

derivative of x^3+y^2

Lösung

\frac{d}{d x} (x^{3} + y^{2})

Lösung

3 x^{2} + 2 y \frac{d y}{d x}

Schritte zur Lösung

\frac{d}{d x} (x^{3} + y^{2})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{3}) + \frac{d}{d x} (y^{2})

\frac{d}{d x} (x^{3}) = 3 x^{2}

\frac{d}{d x} (y^{2}) = 2 y \frac{d y}{d x}

= 3 x^{2} + 2 y \frac{d y}{d x}

Beliebte Beispiele

(\partial)/(\partial x)(2e^{x^2})

\frac{\partial}{\partial x} (2 e^{x^{2}})

tangent ((2x-1)/(x+1)),2

t an g e n t (\frac{2 x - 1}{x + 1}), 2

(dy)/(dx)=e^{2x}+3y

\frac{d y}{d x} = e^{2 x} + 3 y

integral of xsqrt(16+x^2)

\int x 16 + x^{2} d x

f (x) = ln (1 + \frac{1}{x})