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Home Partial Differentiation Implicit Functions Examples Example 1
 
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Example 1

If

z = 2x + 3y, y = sin x,

find ∂z/∂x and dz/dx when x = 0.

11_partial_differentiation-357.gif

When x = 0,

11_partial_differentiation-358.gif

As a check, we find dz/dx directly.

z = 2x + 3y = 2x + 3 sin x.

11_partial_differentiation-359.gif

When x = 0,

11_partial_differentiation-360.gif
Home Partial Differentiation Implicit Functions Examples Example 1

Last Update: 2006-11-15