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Beliebt Rechnen >

derivative sqrt(r^2-6x^2)

Lösung

ableitung von

r^{2} - 6 x^{2}

Lösung

- \frac{6 x}{r ^{2} - 6 x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (r^{2} - 6 x^{2})

Wende die Kettenregel an:

\frac{1}{2 r ^{2} - 6 x ^{2}} \frac{d}{d x} (r^{2} - 6 x^{2})

= \frac{1}{2 r ^{2} - 6 x ^{2}} \frac{d}{d x} (r^{2} - 6 x^{2})

\frac{d}{d x} (r^{2} - 6 x^{2}) = - 12 x

= \frac{1}{2 r ^{2} - 6 x ^{2}} (- 12 x)

Vereinfache

\frac{1}{2 r ^{2} - 6 x ^{2}} (- 12 x) : - \frac{6 x}{r ^{2} - 6 x ^{2}}

= - \frac{6 x}{r ^{2} - 6 x ^{2}}

Graph

Beliebte Beispiele

tangent f(x)=x^4-13x^2+36,\at x=2

t an g e n t f (x) = x^{4} - 13 x^{2} + 36, at x = 2

integral of-4x^3e^{4x^2}

\int - 4 x^{3} e^{4 x^{2}} d x

y^{^{'}} + y = y^{- 2}

integral of e^{3t}(e^{3t}-1)

\int e^{3 t} (e^{3 t} - 1) d t

inverselaplace ((s+1))/((s+1)^2+1)

in v erse l a pl a ce \frac{( s + 1 )}{( s + 1 ) ^{2} + 1}