To find the partial derivative of V with respect to x, we need to apply the chain rule. The chain rule states that the derivative of a composite function is the derivative of the outer function times the derivative of the inner function.

Here, the outer function is f(u) and the inner function is u = x² + y².

Step 1: Differentiate the outer function with respect to u. We get f'(u).

Step 2: Differentiate the inner function with respect to x. We get 2x.

Step 3: Multiply the results from step 1 and step 2.

So, ∂V/∂x = f'(u) * 2x = 2x * f'(x² + y²).

Question

To find the partial derivative of V with respect to x, we need to apply the chain rule. The chain rule states that the derivative of a composite function is the derivative of the outer function times the derivative of the inner function.

Here, the outer function is f(u) and the inner function is u = x² + y².

Step 1: Differentiate the outer function with respect to u. We get f'(u).

Step 2: Differentiate the inner function with respect to x. We get 2x.

Step 3: Multiply the results from step 1 and step 2.

So, ∂V/∂x = f'(u) * 2x = 2x * f'(x² + y²).

Knowee AI · Accepted Answer

To find the partial derivative of V with respect to x, we need to apply the chain rule. The chain rule states that the derivative of a composite function is the derivative of the outer function times the derivative of the inner function.

Here, the outer function is f(u) and the inner function is u = x² + y².

Step 1: Differentiate the outer function with respect to u. We get f'(u).

Step 2: Differentiate the inner function with respect to x. We get 2x.

Step 3: Multiply the results from step 1 and step 2.

So, ∂V/∂x = f'(u) * 2x = 2x * f'(x² + y²).

Obtain ∂𝑣∂𝑥 if 𝑉=𝑓(𝑥2+𝑦2)

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