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Beliebt Rechnen >

derivative of 4x^3+2y^5=6

Lösung

\frac{d}{d x} (4 x^{3} + 2 y^{5}) = 6

Lösung

y = 5 3 x + c_{1} - 2 x^{3}

Schritte zur Lösung

\frac{d}{d x} (4 x^{3} + 2 y^{5}) = 6

Wenn

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

dann

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

4 x^{3} + 2 y^{5} = \int 6 d x

\int 6 d x = 6 x + c_{1}

4 x^{3} + 2 y^{5} = 6 x + c_{1}

Isoliere

y : y = 5 3 x + \frac{c _{1}}{2} - 2 x^{3}

y = 5 3 x + \frac{c _{1}}{2} - 2 x^{3}

Vereinfache

y = 5 3 x + c_{1} - 2 x^{3}

Graph

Beliebte Beispiele

t^2y+11ty^'-11y=0,y^1(0)=t

t^{2} y + 11 t y^{^{'}} - 11 y = 0, y^{1} (0) = t

y^'=(xy)/(1+x^2)

y^{^{'}} = \frac{x y}{1 + x ^{2}}

(x^2+9)u^'+2x\H(x)=0

(x^{2} + 9) u^{^{'}} + 2 x H (x) = 0

y^{^{'}} tan (x) - y = 0

- 4 y^{^{'}} = 1 + x + y + x y