# How do you implicitly differentiate #2(x^2+y^2)/x = 3(x^2-y^2)/y#?

#lambda = 1/2 ((63 + 2 sqrt[993])^(1/3)/3^(2/3) - 1/(3 (63 + 2 sqrt[993]))^(1/3)-1)#

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

To implicitly differentiate ( \frac{2(x^2+y^2)}{x} = \frac{3(x^2-y^2)}{y} ), follow these steps:

- Expand both sides.
- Differentiate both sides with respect to (x) or (y) depending on the variable you want to solve for.
- Rearrange the equation to solve for the derivative of (y) with respect to (x).

After completing these steps, you'll find the implicit derivative.

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.

- How do you differentiate #f(x)=(1/x^3)sinx# using the product rule?
- How do you find the derivative of #f(x)=x^100#?
- How do you find the derivative of #1/x^2#?
- How do you find the derivative of # 1/[16x+3]^2# using the chain rule?
- If #f(x)= sec2 x # and #g(x) = -x^2 -1 #, how do you differentiate #f(g(x)) # using the chain rule?

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