Difference between revisions of "009A Sample Final 2, Problem 3"

Revision as of 18:54, 18 February 2017

Compute ${\frac {dy}{dx}}.$

(a) $y={\bigg (}{\frac {x^{2}+3}{x^{2}-1}}{\bigg )}^{3}$

(b) $y=x\cos({\sqrt {x+1}})$

(c) $y=\sin ^{-1}x$

Solution:

(a)

Step 2:

(b)

Step 1:

Step 2:

(c)

@@ Line 1: / Line 1: @@
-<span class="exam">Compute <math>\frac{dy}{dx}.</math>
+<span class="exam">Compute &nbsp; <math>\frac{dy}{dx}.</math>
-::<span class="exam">a) <math style="vertical-align: -14px">y=\bigg(\frac{x^2+3}{x^2-1}\bigg)^3</math>
+<span class="exam">(a) <math style="vertical-align: -14px">y=\bigg(\frac{x^2+3}{x^2-1}\bigg)^3</math>
-::<span class="exam">b) <math style="vertical-align: -3px">y=x\cos(\sqrt{x+1})</math>
+<span class="exam">(b) <math style="vertical-align: -3px">y=x\cos(\sqrt{x+1})</math>
-::<span class="exam">c) <math>y=\sin^{-1} x</math>
+<span class="exam">(c) <math>y=\sin^{-1} x</math>
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 '''Solution:'''
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