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Beliebt Rechnen >

tangent y=(6x)/(x^2+1),(1,1)

Lösung

tangente von

y = \frac{6 x}{x ^{2} + 1}, (1, 1)

Lösung

y = 2.28112 \dots x - 1.28112 \dots or y = - 0.04593 \dots x + 1.04593 \dots

Schritte zur Lösung

Steigung der Tangente an

(1, 1) : m = \frac{6 x - x ^{2} - 1}{( x ^{2} + 1 ) ( x - 1 )}

Finde die Steigung von

y = \frac{6 x}{x ^{2} + 1} : m = \frac{6 ( - x ^{2} + 1 )}{( x ^{2} + 1 ) ^{2}}

Löse

\frac{6 ( - x ^{2} + 1 )}{( x ^{2} + 1 ) ^{2}} = \frac{6 x - x ^{2} - 1}{( x ^{2} + 1 ) ( x - 1 )} : x \approx - 0.57336 \dots, x \approx 11.29520 \dots

Finde die Tangente an

x = - 0.57336 \dots : y = 2.28112 \dots x - 1.28112 \dots

Finde die Tangente an

x = 11.29520 \dots : y = - 0.04593 \dots x + 1.04593 \dots

y = 2.28112 \dots x - 1.28112 \dots or y = - 0.04593 \dots x + 1.04593 \dots

Graph

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