   Chapter 14.3, Problem 103E

Chapter
Section
Textbook Problem

If f ( x , y )   = x ( x 2 + y 2 ) − 3 / 2 e sin ( x 2 y ) find fx(1,0). [Hint: Instead of finding fx(x, y) first, note that it's easier to use Equation 1 or Equation 2.]

To determine

To find: The value of fx(1,0) if f(x,y)=x(x2+y2)32esin(x2y) .

Explanation

The given function is, f(x,y)=x(x2+y2)32esin(x2y) .

To obtain the value of fx(1,0) use the equation mentioned below.

fx(a,b)=g'(a) where g(x)=f(x,b) (1)

Let g(x)=f(x,0) .

Substitute the y=0 in the given function,

f(x,0)=x(x2+02)32esin(x2(0))=x(x2)32

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