Difference between revisions of "009A Sample Final 1, Problem 8"

Revision as of 21:50, 1 February 2016

Let

y=x^{3}

a) Find the differential $dy$ of $y=x^{3}$ at $x=2$ .

b) Use differentials to find an approximate value for $1.9^{3}$ .

Foundations:

Solution:

(a)

(b)

Step 2:

Step 3:

(c)

Step 1:

@@ Line 3: / Line 3: @@
 ::::::<math>y=x^3</math>
-::<span class="exam">a) Find the differential <math>dy</math> of <math>y=x^3</math> at <math>x=2</math>.
+<span class="exam">a) Find the differential <math>dy</math> of <math>y=x^3</math> at <math>x=2</math>.
-::<span class="exam">b) Use differentials to find an approximate value for <math>1.9^3</math>.
+<span class="exam">b) Use differentials to find an approximate value for <math>1.9^3</math>.
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