4. Let f(x, y)=2x*y' . Find f,(x,y)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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**Question 4:**

Let \( f(x, y) = 2x^4y^7 \). Find \( f_x(x, y) \).

**Explanation:**

This question involves finding the partial derivative of the function \( f(x, y) \) with respect to \( x \). The function given is \( f(x, y) = 2x^4y^7 \), which is a product of terms involving both \( x \) and \( y \).

To find \( f_x(x, y) \), differentiate \( f(x, y) \) with respect to \( x \), treating \( y \) as a constant.
Transcribed Image Text:**Question 4:** Let \( f(x, y) = 2x^4y^7 \). Find \( f_x(x, y) \). **Explanation:** This question involves finding the partial derivative of the function \( f(x, y) \) with respect to \( x \). The function given is \( f(x, y) = 2x^4y^7 \), which is a product of terms involving both \( x \) and \( y \). To find \( f_x(x, y) \), differentiate \( f(x, y) \) with respect to \( x \), treating \( y \) as a constant.
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