# What is the implicit derivative of #1= x^2y-e^y-xy #?

The answer is

Let

Then,

The partial derivatives are

Therefore,

You can calculate by direct differentiation

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

To find the implicit derivative of the equation (1 = x^2y - e^y - xy), differentiate both sides of the equation with respect to (x), treating (y) as a function of (x) and using the product rule and chain rule where necessary.

The implicit derivative is:

[\frac{dy}{dx} = \frac{-2xy - e^y}{x^2 - e^y - y}]

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