Question

Find {d y}{d x} where [ y⁹ e⁻²ˣ +2 x⁶-y⁴=4 ]

Answer 1

To find dy/dx in the given equation, take the derivative of both sides of the equation with respect to x.

Step-by-step explanation:

To find {{d y}{d x}} in the given equation, we need to take the derivative of the equation with respect to x.

The given equation is y⁹ e⁻²ˣ +2 x⁶-y⁴=4.

Taking the derivative of both sides with respect to x, we get:

9y⁸ e⁻²ˣ (-2) + 12x⁵ - 4y³(dy/dx) = 0

Now, to solve for {{dy/dx}}, divide both sides by 4y³:

{{dy/dx}} = (9y⁸ e⁻²ˣ (-2) + 12x⁵)/(4y³)