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Évaluer

z y^{3} x^{7}

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Différencier w.r.t. x

7 z y^{3} x^{6}

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Quiz

x x x x x x x y y y z

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Properties of Exponents - Algebra 2

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Describe the partitions of the equivalence relations for the map

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This is a projection onto the x-axis, so the relation would be

(x_{1}, y_{1}) \sim (x_{2}, y_{2}) ⟺ x_{1} = x_{2}

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x y + (x + y) z^{'} + y = x y + x z^{'} + y z^{'} + y = x z^{'} + (x + z^{'} + 1) y = x z^{'} + 1 y = x z^{'} + y

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x^{2}xxxxxyyyz

Multiplier x et x pour obtenir x^{2}.

x^{3}xxxxyyyz

Pour multiplier les puissances de la même base, additionnez leurs exposants. Additionnez 2 et 1 pour obtenir 3.

x^{4}xxxyyyz

Pour multiplier les puissances de la même base, additionnez leurs exposants. Additionnez 3 et 1 pour obtenir 4.

x^{5}xxyyyz

Pour multiplier les puissances de la même base, additionnez leurs exposants. Additionnez 4 et 1 pour obtenir 5.

x^{6}xyyyz

Pour multiplier les puissances de la même base, additionnez leurs exposants. Additionnez 5 et 1 pour obtenir 6.

x^{7}yyyz

Pour multiplier les puissances de la même base, additionnez leurs exposants. Additionnez 6 et 1 pour obtenir 7.

x^{7}y^{2}yz

Multiplier y et y pour obtenir y^{2}.

x^{7}y^{3}z

Pour multiplier les puissances de la même base, additionnez leurs exposants. Additionnez 2 et 1 pour obtenir 3.

Exemples

Équation du second degré

x^{2} - 4 x - 5 = 0

4 sin θ cos θ = 2 sin θ

Équation linéaire

y = 3 x + 4

699 * 533

[2534] [2 - 1 0135]

Équation simultanée

{8 x + 2 y = 46 7 x + 3 y = 47

Différenciation

\frac{d}{d x} \frac{( 3 x ^{2} - 2 )}{( x - 5 )}

\int_{0}^{1} x e^{- x^{2}} d x

x \to - 3 lim \frac{x ^{2} - 9}{x ^{2} + 2 x - 3}