# How do you implicitly differentiate #-1=-y^2x-2xy-ye^y #?

So firstly differentiate all parts individually

leaving us with,

By signing up, you agree to our Terms of Service and Privacy Policy

To implicitly differentiate the equation -1 = -y^2x - 2xy - ye^y, follow these steps:

- Differentiate each term of the equation with respect to x.
- Apply the product rule and chain rule where necessary.
- Solve for dy/dx, the derivative of y with respect to x.

The implicit differentiation yields:

0 = -y^2 * dx/dx - 2xy' - (2x + 2y * dy/dx) - (e^y + ye^y * dy/dx)

Simplify and solve for dy/dx.

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7