Difference between revisions of "009A Sample Final 3, Problem 10"

Revision as of 18:04, 18 February 2017

Let $y=\tan(x).$

(a) Find the differential $dy$ of $y=\tan(x)$ at $x={\frac {\pi }{4}}.$

(b) Use differentials to find an approximate value for $\tan(0.885).$ Hint: ${\frac {\pi }{4}}\approx 0.785.$

Solution:

(a)

Step 2:

(b)

Step 1:

Step 2:

(c)

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 <span class="exam">Let <math>y=\tan(x).</math>
-::<span class="exam">a) Find the differential <math>dy</math> of <math>y=\tan (x)</math> at <math>x=\frac{\pi}{4}.</math>
+<span class="exam">(a) Find the differential <math>dy</math> of <math>y=\tan (x)</math> at <math>x=\frac{\pi}{4}.</math>
-::<span class="exam">b) Use differentials to find an approximate value for <math>\tan(0.885).</math> Hint: <math>\frac{\pi}{4}\approx 0.785.</math>
+<span class="exam">(b) Use differentials to find an approximate value for <math>\tan(0.885).</math> Hint: <math>\frac{\pi}{4}\approx 0.785.</math>
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 '''Solution:'''
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