How do you find the second derivative of #x^2y^2#?
If you mean to ask about second partial derivatives of a function of 2 variables, see Daniel's answer.
We'll need the product rule for three factors:
By signing up, you agree to our Terms of Service and Privacy Policy
To find the second derivative of (x^2y^2), you'll need to use the product rule and chain rule twice. Here's the stepbystep process:

Find the first derivative using the product rule: [ \frac{d}{dx}(x^2y^2) = 2x \cdot y^2 + x^2 \cdot 2y \frac{dy}{dx} ]

Simplify the expression: [ \frac{d}{dx}(x^2y^2) = 2xy^2 + 2x^2y\frac{dy}{dx} ]

Now, differentiate the expression obtained in step 2 with respect to (x) to find the second derivative: [ \frac{d^2}{dx^2}(x^2y^2) = 2y^2 + 4xy\frac{dy}{dx} + 2x^2\frac{d^2y}{dx^2} ]
This is the second derivative of (x^2y^2).
By signing up, you agree to our Terms of Service and Privacy Policy
When evaluating a onesided 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 onesided 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 onesided 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 onesided 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
 Stepbystep, indepth guides
 Readily available 24/7