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Beliebt Rechnen >

derivative of x^2+y^2=25

Lösung

\frac{d}{d x} (x^{2} + y^{2}) = 25

Lösung

y = 25 x + c_{1} - x^{2}, y = - 25 x + c_{1} - x^{2}

Schritte zur Lösung

\frac{d}{d x} (x^{2} + y^{2}) = 25

Wenn

f^{^{'}} (x) = g (x)

dann

f (x) = \int g (x) d x

x^{2} + y^{2} = \int 25 d x

\int 25 d x = 25 x + c_{1}

x^{2} + y^{2} = 25 x + c_{1}

Isoliere

y : y = 25 x + c_{1} - x^{2}, y = - 25 x + c_{1} - x^{2}

y = 25 x + c_{1} - x^{2}, y = - 25 x + c_{1} - x^{2}

Graph

Beliebte Beispiele

(\partial)/(\partial x)(9x^2)

\frac{\partial}{\partial x} (9 x^{2})

derivative f(x)=4-x^2

d er i v a t i v e f (x) = 4 - x^{2}

limit as x approaches-2 of (x^2-1)/(2-x)

x \to - 2 lim (\frac{x ^{2} - 1}{2 - x})

tangent y=sqrt(x),(25,5)

t an g e n t y = x, (25, 5)

(d^2)/(dx^2)((x^2-1)/(x^2+1))

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