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Home Differentiation Differentials and Tangent Lines Examples Example 5
 
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Example 5

(a)

d(x3) = 3x2 dx.

(b)

02_differentiation-59.gif, x > 0.

(c)

02_differentiation-60.gif, x ≠0.

(d)

d(|x|) = 02_differentiation-61.gif

 dx when x > 0,
-dx when x < 0
undefined when x = 0.
(e)

Let u = bt and w = -16t2.

Then

u + w = bt - 16t2,   d(u + w) = (b-32t)dt.

Home Differentiation Differentials and Tangent Lines Examples Example 5

Last Update: 2006-11-15