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

Revision as of 14:45, 6 March 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 &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) &nbsp;<math style="vertical-align: -15px">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) &nbsp;<math style="vertical-align: -4px">y=x\cos(\sqrt{x+1})</math>
-<span class="exam">(c) <math>y=\sin^{-1} x</math>
+<span class="exam">(c) &nbsp;<math style="vertical-align: -5px">y=\sin^{-1} x</math>
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