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Home Partial Differentiation Implicit Functions Examples Example 4: Tangent Line and Slope
 
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Example 4: Tangent Line and Slope

Find the tangent line and slope of the curve

y + ln y + x3 = 0

at the point (-1, 1) (Figure 11.6.6).

11_partial_differentiation-382.gif

Figure 11.6.6

Put

z = y + ln y + x3.

Then

11_partial_differentiation-383.gif

At(-1, 1),

11_partial_differentiation-384.gif

Tangent Line:

3(x + 1) + 2(y - 1) = 0.

Slope:

11_partial_differentiation-385.gif
Home Partial Differentiation Implicit Functions Examples Example 4: Tangent Line and Slope

Last Update: 2006-11-15