Question

x^2 ori y=891 repede va rog​

Answer 1

Răspuns:

Salutare!

Explicație pas cu pas:

1.

$\frac{d}{dx} (x {}^{2} y) = \frac{d}{dx} (891)$

2

$\frac{d}{dx} ( {x}^{2} ) \times y + {x}^{2} \times \frac{d}{dx} (y) = \frac{d}{dx} (891$

3.

$\frac{d}{dx} (x {}^{2} ) \times y + x {}^{2} \times \frac{x}{dx} (y) = 0$

4.

$2xy + {x}^{2} \times \frac{d}{dx} (y) = 0$

5.

$2xy + {x}^{2} \times \frac{d}{dy} (y) \times \frac{dy}{dx} = 0$

6.

$2xy \times {x}^{2} \times 1 \times \frac{dy}{dx} = 0$

7.

$2xy + {x}^{2} \times \frac{dy}{dx} = 0$

8.

$2xy + {x}^{2} \times \frac{dy}{dx} - 2xy = 0 - 2xy$

9.

${x}^{2} \times \frac{dy}{dx} = 0 - 2xy$

10.

${x}^{2} \times \frac{dx}{xy} = -2 xy$

11.

${x}^{2} \times \frac{dy}{dx} + \div 2 = 2xy \div {x}^{2}$

12.

$\frac{dy}{dx} = - 2x \div {x}^{2}$

13.

$\frac{dy}{dx} = - \frac{2xy}{ {x}^{2} }$

14.

$\frac{dy}{dx} = \frac{2y}{x}$